Renormalization of the bilocal sine-Gordon model

被引：2

作者：

Steib, I ^{[1
]}

Nagy, S. ^{[1
]}

机构：

[1] Univ Debrecen, Dept Theoret Phys, POB 5, H-4010 Debrecen, Hungary

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2019年 / 34卷 / 21期

关键词：

Renormalization; sine-Gordon model; QUANTUM-FIELD-THEORY; COULOMB GAS; EQUATION; FLOW;

D O I：

10.1142/S0217751X19501173

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

The functional renormalization group treatment is presented for the two-dimensional sine-Gordon model including a bilocal term in the potential, which contributes to the flow at the tree level. It is shown that the flow of the bilocal term can substitute the evolution of the wave function renormalization constant, since it can recover the Kosterlitz-Thouless type phase transition. The flows can also reveal the connection between the sine-Gordon and the noninteracting Thirring models at a special value of the wave number parameter.

引用

页数：17

共 50 条

[21] The Dynamical Sine-Gordon Model
Martin Hairer
Hao Shen
Communications in Mathematical Physics, 2016, 341 : 933 - 989
[22] A DISCRETE SINE-GORDON MODEL
DING, GH
XU, BW
ZHANG, YM
PHYSICS LETTERS B, 1993, 317 (1-2) : 107 - 111
[23] On a Parabolic Sine-Gordon Model
Cheng, Xinyu
Li, Dong
Quan, Chaoyu
Yang, Wen
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 14 (04): : 1068 - 1084
[24] Noncommutative sine-Gordon model
Lechtenfeld, O
CZECHOSLOVAK JOURNAL OF PHYSICS, 2004, 54 (11) : 1351 - 1357
[25] THE LATTICE SINE-GORDON MODEL
IZERGIN, AG
KOREPIN, VE
VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA FIZIKA KHIMIYA, 1981, (04): : 84 - 87
[26] The local sine-Gordon model
Xu, BW
Zhang, YM
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (22): : 7349 - 7352
[27] THE GRAVITATIONAL SINE-GORDON MODEL
HSU, E
KUTASOV, D
NUCLEAR PHYSICS B, 1993, 396 (2-3) : 693 - 707
[28] Numerical simulations of the random phase sine-Gordon model and renormalization group predictions
Lancaster, D. J.
Ruiz-Lorenzo, J. J.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2007,
[29] Dimensional Regularization Approach to the Renormalization Group Theory of the Generalized Sine-Gordon Model
Yanagisawa, Takashi
ADVANCES IN MATHEMATICAL PHYSICS, 2018, 2018
[30] Renormalization group theory of the generalized multi-vertex sine-Gordon model
Yanagisawa, Takashi
PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, 2021, 2021 (03):

← 1 2 3 4 5 →