Coleman's puzzles are solved: at θ=π with equal masses the model shows spontaneous charge conjugation breaking and no confinement with mass gap ~m exp(-0.111 g²/m²) at strong coupling; at θ=0 a level crossing occurs between isosinglet states; isospin-breaking effects are quantified for unequal mass.
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Quantum Chromodynamics and Other Field Theories on the Light Cone
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abstract
We discuss the light-cone quantization of gauge theories as a calculational tool for representing hadrons as QCD bound-states of relativistic quarks and gluons, and also as a novel method for simulating quantum field theory on a computer. The light-cone Fock state expansion of wavefunctions provides a precise definition of the parton model and a general calculus for hadronic matrix elements. We present several new applications of light-cone Fock methods, including calculations of exclusive weak decays of heavy hadrons, and intrinsic heavy-quark contributions to structure functions. Discretized light-cone quantization, is outlined and applied to several gauge theories. We also discuss the construction of the light-cone Fock basis, the structure of the light-cone vacuum, and outline the renormalization techniques required for solving gauge theories within the Hamiltonian formalism on the light cone.
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TMD factorization holds for diffractive massive quark-antiquark-gluon production in the correlation limit, with a new mass-dependent quark diffractive TMD in the antiquark-gluon hard pair case.
Collinear factorization amplitudes exactly reproduce the large-Q² expansion of CGC amplitudes for inclusive DIS, DVCS, and DVMP at the amplitude level.
In gauge-free quark models, quasi-PDFs converge to PDFs with proven sum rules, and the Covariant Parton Model supplies closed-form small-x results that match a Wandzura-Wilczek approximation for the quark energy-momentum tensor form factor.
A light-front Hamiltonian method evolves a quark through Glasma fields to obtain transverse momentum broadening and jet quenching consistent with classical scaling in saturation momentum.
Quantum systems reach a Maximal Entanglement Limit where entanglement geometry produces thermal reduced density matrices and probabilistic behavior in statistical and high-energy physics.
In unquenched scalar Yukawa theory, parton entanglement entropy encodes quantum information that cannot be reduced to Shannon entropy of parton distributions.
Relativistic EMT distributions in polarized nucleons recover good and bad light-front components in the IMF after including polarization effects.
In 1+1D QCD the baryon Bethe-Salpeter equation reduces to the Bars-Durgut equation under valence truncation and is solved numerically for the spectrum and parton distributions.
Carrollian fermionic actions for electric and magnetic sectors are derived from a single Bargmann Dirac action by null reduction, with good and bad fermions as dynamical and constrained modes valid in any dimension.
Using basis light-front quantization wave functions, the authors calculate GPDs for proton components at low resolution scale and obtain results qualitatively similar to but smaller than the GUMP1.0 global extraction.
Carrollian fermion actions are obtained from relativistic Dirac theory via c-expansion and connected to light-cone dynamics through co-dimension one Carroll subalgebras in the Poincaré algebra.
A quantum-circuit framework maps partonic cross-sections for multi-particle QCD processes in media, benchmarked on dipole formation and antenna radiation at leading order.
Introduces a gluon mass and auxiliary scalar field to cancel small-x divergences in the front-form QCD Hamiltonian, yielding confinement for heavy quarks as the mass parameter is sent to zero.
Analyzes diagonal GPD overlaps from light-front wave functions in the 't Hooft model, finding no linear b term in equal-mass second moments and a resonant b^4 ln^2(1/b) nonanalyticity at beta=1/2 that limits the diagonal overlap.
The authors use the two-flavor NJL model to obtain medium-modified constituent quark masses and then compute the in-medium pion electromagnetic form factor, distribution amplitude, and parton distribution function via light-cone wave functions, with DGLAP evolution applied.
A tachyonic AdS/QCD construction deforms the bulk geometry with a tachyon-dependent dielectric function to produce a unified running coupling from perturbative UV to nonperturbative IR regimes.
Symmetry selection rules restrict nucleon-pentaquark mixing to 6 of 27 positive-parity states, with sigma and pi transitions adding incoherently to a total five-quark probability of 29%.
Replacing the rapidity argument of the dipole amplitude with ln min{1/|x|, 1/|ξ|} and refining initial conditions for non-linear evolution can eliminate two R-factors in small-x shockwave calculations.
Transverse EMT distributions in polarized nucleons are derived in the quantum phase-space formalism; they reduce to standard light-front densities (including bad components) in the infinite-momentum frame.
Acceleration has no effect on a causality-enforcing trivial vacuum, so the Unruh effect is absent and standard calculations omit a cancelling contribution from Lorentz transformations acting on the detector.
citing papers explorer
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The two-flavor Schwinger model at 50: Solving Coleman's puzzles
Coleman's puzzles are solved: at θ=π with equal masses the model shows spontaneous charge conjugation breaking and no confinement with mass gap ~m exp(-0.111 g²/m²) at strong coupling; at θ=0 a level crossing occurs between isosinglet states; isospin-breaking effects are quantified for unequal mass.
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TMD factorization in diffractive heavy-quark production in photon-nucleus collisions
TMD factorization holds for diffractive massive quark-antiquark-gluon production in the correlation limit, with a new mass-dependent quark diffractive TMD in the antiquark-gluon hard pair case.
-
Matching collinear factorization with color-glass condensate for inclusive and exclusive deep inelastic scattering
Collinear factorization amplitudes exactly reproduce the large-Q² expansion of CGC amplitudes for inclusive DIS, DVCS, and DVMP at the amplitude level.
-
Quasi Parton Distribution Functions in Covariant Quark Models
In gauge-free quark models, quasi-PDFs converge to PDFs with proven sum rules, and the Covariant Parton Model supplies closed-form small-x results that match a Wandzura-Wilczek approximation for the quark energy-momentum tensor form factor.
-
Light-front Hamiltonian jet evolution in the Glasma
A light-front Hamiltonian method evolves a quark through Glasma fields to obtain transverse momentum broadening and jet quenching consistent with classical scaling in saturation momentum.
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The Maximal Entanglement Limit in Statistical and High Energy Physics
Quantum systems reach a Maximal Entanglement Limit where entanglement geometry produces thermal reduced density matrices and probabilistic behavior in statistical and high-energy physics.
-
Quantum entanglement between partons in a strongly coupled quantum field theory
In unquenched scalar Yukawa theory, parton entanglement entropy encodes quantum information that cannot be reduced to Shannon entropy of parton distributions.
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Relativistic energy-momentum tensor distributions in a polarized nucleon
Relativistic EMT distributions in polarized nucleons recover good and bad light-front components in the IMF after including polarization effects.
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Baryon Bethe-Salpeter Equation in Minkowski-Space QCD$_2$
In 1+1D QCD the baryon Bethe-Salpeter equation reduces to the Bars-Durgut equation under valence truncation and is solved numerically for the spectrum and parton distributions.
-
Carroll fermions from null reduction: A case of good and bad fermions
Carrollian fermionic actions for electric and magnetic sectors are derived from a single Bargmann Dirac action by null reduction, with good and bad fermions as dynamical and constrained modes valid in any dimension.
-
Generalized parton distributions of valence, sea, and gluon components of the proton
Using basis light-front quantization wave functions, the authors calculate GPDs for proton components at low resolution scale and obtain results qualitatively similar to but smaller than the GUMP1.0 global extraction.
-
Carroll fermions, expansions and the lightcone
Carrollian fermion actions are obtained from relativistic Dirac theory via c-expansion and connected to light-cone dynamics through co-dimension one Carroll subalgebras in the Poincaré algebra.
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Quantum simulating multi-particle processes in high energy nuclear physics: dijet production and color (de)coherence
A quantum-circuit framework maps partonic cross-sections for multi-particle QCD processes in media, benchmarked on dipole formation and antenna radiation at leading order.
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Gluon mass and small-x dynamics in hadrons
Introduces a gluon mass and auxiliary scalar field to cancel small-x divergences in the front-form QCD Hamiltonian, yielding confinement for heavy quarks as the mass parameter is sent to zero.
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Light-front diagnostics in the 't Hooft model: I. Wave functions, EMT decomposition, and the diagonal GPD overlap
Analyzes diagonal GPD overlaps from light-front wave functions in the 't Hooft model, finding no linear b term in equal-mass second moments and a resonant b^4 ln^2(1/b) nonanalyticity at beta=1/2 that limits the diagonal overlap.
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Valence quark distribution of the pion inside a medium with finite baryon density: A Nambu--Jona-Lasinio model approach
The authors use the two-flavor NJL model to obtain medium-modified constituent quark masses and then compute the in-medium pion electromagnetic form factor, distribution amplitude, and parton distribution function via light-cone wave functions, with DGLAP evolution applied.
-
Tachyonic AdS/QCD, Determining the Strong Running Coupling and \beta-function in both UV and IR Regions of AdS Space
A tachyonic AdS/QCD construction deforms the bulk geometry with a tachyon-dependent dielectric function to produce a unified running coupling from perturbative UV to nonperturbative IR regimes.
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Chiral Structure and Selection Rules in Light-Front Nucleon-Pentaquark Mixing
Symmetry selection rules restrict nucleon-pentaquark mixing to 6 of 27 positive-parity states, with sigma and pi transitions adding incoherently to a total five-quark probability of 29%.
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On the Two $R$-Factors in the Small-$x$ Shockwave Formalism
Replacing the rapidity argument of the dipole amplitude with ln min{1/|x|, 1/|ξ|} and refining initial conditions for non-linear evolution can eliminate two R-factors in small-x shockwave calculations.
-
Transverse energy-momentum tensor distributions in polarized nucleons
Transverse EMT distributions in polarized nucleons are derived in the quantum phase-space formalism; they reduce to standard light-front densities (including bad components) in the infinite-momentum frame.
-
Poincar\'e invariance and the Unruh effect
Acceleration has no effect on a causality-enforcing trivial vacuum, so the Unruh effect is absent and standard calculations omit a cancelling contribution from Lorentz transformations acting on the detector.
- An Analysis on the Parton Distribution Functions of Heavy Mesons