Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T10:54:04.583288Z
Paper Citation Record · LEDGER
As of 15 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 2 inbound Pith citation observations for arXiv:1908.10323.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T10:54:04.583288Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-01T04:48:30.563853Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-01T11:05:41.391312Z
48 of 48 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 113f69c0-40e5-46af-9158-81c4e6eb8b4d · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 625c4caa-b2f6-4163-81ac-a8550b7df253 · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field (14) The value of a is given by solving Eq
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e17ba65e-319a-4710-b25b-6a0d15442a2f · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field (C2) 12 Expanding the matrix structure in Eq
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c4a526a0-b374-477c-838b-f4e2d80a2f78 · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field It has five tensor structures: /P q, /P⊥, /P qγ1γ2, γ1γ2, and 1
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 328b4de2-f983-49d3-911a-26a44f75b212 · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Estimate of the magnetic field strength in heavy-ion collisions
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8d92debf-b02e-4664-9272-ea15bf0ec20a · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field A systematic study of magnetic field in Relativistic Heavy-ion Collisions in the RHIC and LHC energy regions
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9b37415b-bc5b-4609-ab6d-6108b3234d7f · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Photon decay in strong magnetic field in heavy-ion collisions
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ce4a94af-9939-4b88-b565-fc7cce386455 · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Electromagnetic field and the chiral magnetic effect in the quark-gluon plasma
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 16378432-79a7-493e-b818-5337ae5708fc · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Magnetic contribution to dilepton production in heavy-ion collisions
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 89eb6c5a-2a05-4d7c-8091-e43ccf339a29 · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Formation of very strongly magnetized neutron stars - implications for gamma-ray bursts,
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation eeee5aa8-6772-4f7e-8226-bec509d63ddb · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Meson masses in electromagnetic fields with Wilson fermions
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b47cc6b3-33a3-48c3-b084-dee39b3a1964 · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Thermal pions in a magnetic background
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0d2430ba-635e-4a49-95a0-e8b79cf8560c · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Gell-Mann - Oakes - Renner relation in a magnetic field at finite temperature
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5ba389ae-d75d-4177-ab50-e0ec2a92975c · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Pionic dispersion relations in the presence of a weak magnetic field
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a8a8d7fb-93e7-45cf-bec6-d68c48e26a6d · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Mass modification of hot pions in magnetized dense medium
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3072f64b-f7bf-45d8-be4f-c19328b840ba · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Properties of neutral mesons in a hot and magnetized quark matter
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ac8bd59f-d659-4e14-8e77-80a98020203f · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Charged pion masses under strong magnetic fields in the NJL model
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bfa8c9b1-2cb1-4d21-a140-d3ae36b9aa7f · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Neutral meson properties under an external magnetic field in nonlocal chiral quark models
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b5b52c6a-7c8c-4be2-af03-4e2a15d3d10c · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Properties of magnetized neutral mesons within a full RPA evaluation
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 83889ed0-9c8b-41ad-8954-2c2674e530f4 · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Properties of Mesons in a Strong Magnetic Field
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e312ed41-c4db-40d2-ba44-b4aec5dfd24a · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Neutral meson properties in hot and magnetized quark matter: a new magnetic field independent regularization scheme applied to NJL-type model
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 90913537-61dd-4f3a-a242-51b33976f280 · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field $\pi_0$ pole mass calculation in a strong magnetic field and lattice constraints
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9aae26a0-1b1e-405a-9308-f8fed8f3d1d2 · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Dressed Polyakov loop and phase diagram of hot quark matter under magnetic field
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d514e5aa-b789-441d-8d93-c5895d1a9caa · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Entanglement between chiral and deconfinement transitions under strong uniform magnetic background field
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3fe0e0ef-fdf6-447f-876c-14ca9c116292 · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Phase diagram of hot QCD in an external magnetic field: possible splitting of deconfinement and chiral transitions
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 52905a8f-ffe4-4658-89a1-6067fb8b4d2b · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Phase diagram in an external magnetic field beyond a mean-field approximation
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cccaf540-67c7-4515-aa7c-c378f77d3bcb · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Quark matter under strong magnetic field in chiral models
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation fe5f1b55-79d3-4bdf-a904-ac76f7fe3d5e · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field The chiral transition in a magnetic background: Finite density effects and the functional renormalization group
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 14d910a5-afd8-4dff-b95f-158360760275 · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Chiral transition in a strong magnetic background
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1dfa487e-9687-4ebc-a118-ca1a8940fa32 · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3f19725b-83fe-4a31-849d-3ccf56914d43 · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Chiral transition in a magnetic field and at finite baryon density
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2fb01979-57a8-457e-8cae-92bf217bcc7a · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field The axial vector current in beta decay,
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 46befc6e-e7c8-4794-a1ca-7704d553135a · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Linear sigma model at finite temperature
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f5c34c1b-6f7e-4fec-bbcd-a8e185ed0ad0 · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Magnetic Corrections to ${\pi}$-${\pi}$ Scattering Lengths in the Linear Sigma Model
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 10c8e447-f1a7-4fd0-b3af-d4ced907620f · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Thermo-magnetic corrections to $\pi$-$\pi$ Scattering Lengths in the Linear Sigma Model
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation dfb96620-0fab-4a49-b402-d9e54740aa09 · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field The Linear Sigma Model and the formation of a charged pion condensate in the presence of an external magnetic field
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c1751b85-35b8-4ec6-8439-cdf0bcae0bf7 · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field On the critical end point in a two-flavor linear sigma model coupled to quarks
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d2ebda02-1215-475e-ab7f-6913939afede · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field The effective QCD phase diagram and the critical end point
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9b1bc31d-089f-441b-b7f8-6c5246b5f525 · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field QCD phase diagram from chiral symmetry restoration: analytic approach at high and low temperature using the Linear Sigma Model with Quarks
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 66014ae1-e0ae-4fa0-a292-3631faf921fc · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Chiral Phase Transition within Effective Models with Constituent Quarks
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bee30e82-acfb-4192-9be6-04fdee41e374 · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field The magnetized effective QCD phase diagram
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b6583dd0-a4ea-40d2-a679-0aa0fff9263f · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Inverse magnetic catalysis in the linear sigma model with quarks
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 73c735da-0c41-49f1-837b-676088b3e65e · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Magnetic field-dependence of the neutral pion mass in the linear sigma model coupled to quarks: The weak field case
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 420abeb1-b2db-48b0-8346-9b2da2d5b1ed · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Vacuum polarization in thermal QED with an external magnetic field
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 68ad0395-44c6-4f2a-906f-991a1285f141 · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Vacuum Polarization in Homogeneous Mag- netic Fields,
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 113b54d0-3ea6-411c-a51d-851ee63d3312 · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Chiral Symmetry transition in the Linear Sigma Model with quarks: Counting effective QCD degrees of freedom from low to high temperature
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9ad8d74f-e26b-4f8c-b00d-06a98a02451a · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Aspects of Chiral Symmetry
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b7925c45-e6f5-43e9-bc7c-0e9662b33be9 · outbound
Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field Introduction to chiral symmetry ,
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6569c461-c505-405b-9aa6-6e90838dc68a · inbound
Complete one-loop self-energies of the linear sigma model coupled to quarks at finite temperature and in a magnetic field Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field
Reference 73
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b6674857-d3f6-4333-8f06-3de5aeae1cfb · inbound
Hadronic exceptional points Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field
Reference 155
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.