ON TWO-DIMENSIONAL QUASITOPOLOGICAL FIELD THEORIES

被引：2
|
作者：
Teotonio-Sobrinho, P. [1 ,2 ]
Molina, C. [2 ]
Yokomizo, N. [1 ]
机构：
[1] Univ Sao Paulo, Inst Fis DFMA, BR-05315970 Sao Paulo, Brazil
[2] Univ Sao Paulo, Escola Artes Ciencias & Humanidades, BR-03828000 Sao Paulo, Brazil
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2009年 / 24卷 / 32期
基金：
巴西圣保罗研究基金会;
关键词：
Lattice field theory; Hopf algebras; topological quantum field theory; 2; DIMENSIONS; GAUGE-THEORY; LATTICE; MODELS;
D O I：
10.1142/S0217751X09047624
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：
We study a class of lattice field theories in two dimensions that includes gauge theories. We show that in these theories it is possible to implement a broader notion of local symmetry, based on semisimple Hopf algebras. A character expansion is developed for the quasitopological field theories, and partition functions are calculated with this tool. Expected values of generalized Wilson loops are defined and studied with the character expansion.
引用
收藏
页码：6105 / 6121
页数：17
相关论文
共 50 条
  • [1] Quasitopological field theories in two dimensions as soluble models
    Da Cunha, BGC
    Teotonio-Sobrinho, P
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1998, 13 (21): : 3667 - 3689
  • [2] TWO-DIMENSIONAL FIELD-THEORIES
    BERKOV, AV
    NIKITIN, YP
    ROSENTAL, IL
    FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 1981, 29 (07): : 303 - 344
  • [3] Two-dimensional topological field theories as taffy
    Ando, Matt
    Sharpe, Eric
    ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 2011, 15 (01) : 179 - 244
  • [4] Two-dimensional extended homotopy field theories
    Soezer, Kuersat
    ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2023, 23 (09): : 3909 - 3996
  • [5] GEOMETRY OF TWO-DIMENSIONAL SUPERCONFORMAL FIELD-THEORIES
    BARANOV, MA
    FROLOV, IV
    SHVARTS, AS
    THEORETICAL AND MATHEMATICAL PHYSICS, 1987, 70 (01) : 64 - 72
  • [6] TWO-DIMENSIONAL FIELD-THEORIES CLOSE TO CRITICALITY
    SALEUR, H
    ITZYKSON, C
    JOURNAL OF STATISTICAL PHYSICS, 1987, 48 (3-4) : 449 - 475
  • [7] Thermalization and hydrodynamics of two-dimensional quantum field theories
    Delacretaz, Luca, V
    Fitzpatrick, A. Liam
    Katz, Emanuel
    Walters, Matthew T.
    SCIPOST PHYSICS, 2022, 12 (04):
  • [8] Duality-invariant class of two-dimensional field theories
    Sfetsos, K
    NUCLEAR PHYSICS B, 1999, 561 (1-2) : 316 - 340
  • [9] Pseudoentropy for descendant operators in two-dimensional conformal field theories
    He, Song
    Yang, Jie
    Zhang, Yu-Xuan
    Zhao, Zi-Xuan
    PHYSICAL REVIEW D, 2024, 109 (02)
  • [10] Note on massless bosonic states in two-dimensional field theories
    Fukaya, Hidenori
    Hayakawa, Masashi
    Kanamori, Issaku
    Suzuki, Hiroshi
    Takimi, Tomohisa
    PROGRESS OF THEORETICAL PHYSICS, 2006, 116 (06): : 1117 - 1129
12345