Schwinger-Dyson Equation on the Complex Plane: A Four-Fermion Interaction Model at Finite Temperature

被引：0

作者：

Tanaka, Hidekazu ^{[1
]}

Sasagawa, Shuji ^{[1
]}

机构：

[1] Rikkyo Univ, Tokyo 1718501, Japan

来源：

PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS | 2024年 / 2024卷 / 07期

关键词：

DYNAMICAL SYMMETRY-BREAKING; LANDAU-GAUGE; ANALYTIC STRUCTURE; CRITICAL-BEHAVIOR; QCD; PROPAGATOR; CONFINEMENT;

D O I：

10.1093/ptep/ptae097

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We extend the Schwinger-Dyson equation (SDE) on the complex plane, which was treated in our previous research, to finite temperature. As a simple example, we solve the SDE for a model with four-fermion interactions in (1+1) space-time dimensions in the strong coupling region. We investigate the properties of the effective mass and energy for the fermions, especially near the phase transition temperature.

引用

页数：15

共 50 条

[31] Lattice-QCD-based Schwinger-Dyson approach for chiral symmetry restoration at finite temperature
Iida, H
Oka, M
Suganuma, H
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2004, 129 : 602 - 604
[32] Precise phase structure in a four-fermion interaction model on a torus
Inagaki, Tomohiro
Matsuo, Yamato
Shimoji, Hiromu
PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, 2022, 2022 (01):
[33] SOLUTION OF THE SCHWINGER-DYSON EQUATION FOR THE FERMION PROPAGATOR IN THE QUENCHED PLANAR APPROXIMATION TO GAUGED NAMBU-JONA-LASINIO MODELS
FILIPPOV, AT
PHYSICS LETTERS B, 1992, 279 (1-2) : 87 - 91
[34] Four-Fermion Interaction Approximation of the Intermediate Vector Boson Model
Tsutsumi, Yoshio
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2025, 56 (01):
[35] The continuum limit of the Schwinger-Dyson equations of the one and two matrix model with finite loop length
Ikehara, M.
Paleoceanography, 1994, 948 (6-4):
[36] Meson correlation functions for a model with nonlocal four-fermion interaction
M. K. Volkov
G. M. Zinovjev
S. V. Molodtsov
Theoretical and Mathematical Physics, 2009, 161 : 1669 - 1680
[37] Meson correlation functions for a model with nonlocal four-fermion interaction
Volkov, M. K.
Zinovjev, G. M.
Molodtsov, S. V.
THEORETICAL AND MATHEMATICAL PHYSICS, 2009, 161 (03) : 1669 - 1680
[38] A NONPERTURBATIVE, SCHWINGER-DYSON EQUATION ANALYSIS OF QUARK MASSES AND MIXINGS IN A MODEL WITH QCD AND HIGGS INTERACTIONS
SMITH, LL
JAIN, P
MCKAY, DW
MODERN PHYSICS LETTERS A, 1995, 10 (09) : 773 - 787
[39] Composite antisymmetric tensor bosons in a four-fermion interaction model
Dmitrasinovic, V
JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, 2000, 26 (07) : 1017 - 1032
[40] GAP GENERATION IN WEYL SEMIMETALS IN A MODEL WITH LOCAL FOUR-FERMION INTERACTION
Sukhachov, P. O.
UKRAINIAN JOURNAL OF PHYSICS, 2014, 59 (07): : 696 - 705

← 1 2 3 4 5 →