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Diquark Condensation at Nonzero Chemical Potential and Temperature
High Energy Physics - Lattice · Submitted 13 Apr 2001
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Simulations at a fixed, nonzero quark mass provide evidence for a tricritical point in the $\mu$-$T$ plane associated with diquark condensation.
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The abstract, sentence by sentence
SU(2) lattice gauge theory with four flavors of quarks is studied at nonzero chemical potential $\mu$ and temperature $T$ by computer simulation and Effective Lagrangian techniques. Simulations are done on $8^4$, $8^3 \times 4$ and $12^3 \times 6$ lattices and the diquark condensate, chiral order parameter, Wilson line, fermion energy and number densities are measured. Simulations at a fixed, nonzero quark mass provide evidence for a tricritical point in the $\mu$-$T$ plane associated with diquark condensation. For low $T$, increasing $\mu$ takes the system through a line of second order phase transitions to a diquark condensed phase. Increasing $T$ at high $\mu$, the system passes through a line of first order transitions from the diquark phase to the quark-gluon plasma phase. Using Effective Lagrangians we estimate the position of the tricritical point and ascribe its existence to trilinear couplings that increase with $\mu$ and $T$.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | SU(2) lattice gauge theory with four flavors of quarks is studied at nonzero chemical potential $\mu$ and temperature $T$ by computer simulation and Effective Lagrangian techniques. | contribution 0.62 | 0.92 | 0.03 | asserted 0.92 |
| s1 | Simulations are done on $8^4$, $8^3 \times 4$ and $12^3 \times 6$ lattices and the diquark condensate, chiral order parameter, Wilson line, fermion energy and number densities are measured. | method 1.00 | 0.96 | 0.03 | asserted 1.00 |
| s2 | Simulations at a fixed, nonzero quark mass provide evidence for a tricritical point in the $\mu$-$T$ plane associated with diquark condensation. | result 1.00 | 0.95 | 0.51 | asserted 0.58 |
| s3 | For low $T$, increasing $\mu$ takes the system through a line of second order phase transitions to a diquark condensed phase. | result 1.00 | 0.91 | 0.20 | asserted 1.00 |
| s4 | Increasing $T$ at high $\mu$, the system passes through a line of first order transitions from the diquark phase to the quark-gluon plasma phase. | result 1.00 | 0.89 | 0.17 | asserted 1.00 |
| s5 | Using Effective Lagrangians we estimate the position of the tricritical point and ascribe its existence to trilinear couplings that increase with $\mu$ and $T$. | interpretation 0.90 | 0.93 | 0.30 | asserted 0.71 |
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The paper
Original abstract
SU(2) lattice gauge theory with four flavors of quarks is studied at nonzero chemical potential $\mu$ and temperature $T$ by computer simulation and Effective Lagrangian techniques. Simulations are done on $8^4$, $8^3 \times 4$ and $12^3 \times 6$ lattices and the diquark condensate, chiral order parameter, Wilson line, fermion energy and number densities are measured. Simulations at a fixed, nonzero quark mass provide evidence for a tricritical point in the $\mu$-$T$ plane associated with diquark condensation. For low $T$, increasing $\mu$ takes the system through a line of second order phase transitions to a diquark condensed phase. Increasing $T$ at high $\mu$, the system passes through a line of first order transitions from the diquark phase to the quark-gluon plasma phase. Using Effective Lagrangians we estimate the position of the tricritical point and ascribe its existence to trilinear couplings that increase with $\mu$ and $T$.
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References
How the literature uses it
14 arXiv papers cite this in 20 sentences
Papers citing it · 8 sentences without a confident label
Uses its method or tool 2 papers
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We will make use of a mean-field model to address this issue by following a line of argument of Ref. [ref] , which looks successful in reproducing the numerical results of lattice two-color QCD [ref] .
Larkin-Ovchinnikov-Fulde-Ferrell state in two-color quark matter · INTRODUCTION · 0.90
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We also use a small diquark source term with coefficient $a λ= 5 ·10^-4$ as a seed for a diquark condensation transition, which would otherwise be difficult to control in a finite volume [ref] .
Chiral Magnetic Effect and Negative Magnetoresistance across the phase diagram of finite-density SU(2) gauge theory · Lattice setup and simulation details · 0.81
Compares with it 1 paper
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The results obtained in this paper are in reasonable agreement with the results of Refs. [ref] .
Study of the phase diagram of dense two-color QCD within lattice simulation · Discussion and conclusion · 0.99
Cites it as background 8 papers
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On the lattice, QC$_2$D has been studied with staggered [ref] and Wilson fermions [ref] .
Continuum Goldstone spectrum of two-color QCD at finite density with staggered quarks · Introduction · 1.00
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We begin with a brief discussion of two-color [ref] $χ$PT.
Multicomponent superfluidity in two-color QCD at finite density at next-to-leading order · Review of Two-Color Chiral Perturbation Theory · 0.98
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First lattice studies of the theory with partition function ([ref]) have been carried out in the following papers [ref] .
Lattice study of static quark-antiquark interactions in dense quark matter · Simulation details · 0.92
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