Bosonization of massive fermions

J. Dimock

doi:10.1007/s002200050478

Bosonization of massive fermions

J. Dimock

Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We study the Euclidean sine-Gordon field theory on the plane with β < 16π/3 and an interaction density confined to a finite square. For β = 4π we construct correlation functions for the field : sin φ : and show that they are equal to the pseudoscalar ψΓψ correlation functions for a free fermion theory with mass term confined to the finite square.

Original language	English
Pages (from-to)	247-281
Number of pages	35
Journal	Communications in Mathematical Physics
Volume	198
Issue number	2
DOIs	https://doi.org/10.1007/s002200050478
State	Published - 1998

Access to Document

10.1007/s002200050478

Cite this

@article{59d1d901396d411499bd948d9c541a60,

title = "Bosonization of massive fermions",

abstract = "We study the Euclidean sine-Gordon field theory on the plane with β < 16π/3 and an interaction density confined to a finite square. For β = 4π we construct correlation functions for the field : sin φ : and show that they are equal to the pseudoscalar ψΓψ correlation functions for a free fermion theory with mass term confined to the finite square.",

author = "J. Dimock",

year = "1998",

doi = "10.1007/s002200050478",

language = "English",

volume = "198",

pages = "247--281",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - Bosonization of massive fermions

AU - Dimock, J.

PY - 1998

Y1 - 1998

N2 - We study the Euclidean sine-Gordon field theory on the plane with β < 16π/3 and an interaction density confined to a finite square. For β = 4π we construct correlation functions for the field : sin φ : and show that they are equal to the pseudoscalar ψΓψ correlation functions for a free fermion theory with mass term confined to the finite square.

AB - We study the Euclidean sine-Gordon field theory on the plane with β < 16π/3 and an interaction density confined to a finite square. For β = 4π we construct correlation functions for the field : sin φ : and show that they are equal to the pseudoscalar ψΓψ correlation functions for a free fermion theory with mass term confined to the finite square.

UR - https://www.scopus.com/pages/publications/0032276492

U2 - 10.1007/s002200050478

DO - 10.1007/s002200050478

M3 - Article

AN - SCOPUS:0032276492

SN - 0010-3616

VL - 198

SP - 247

EP - 281

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 2

ER -

Bosonization of massive fermions

Abstract

Access to Document

Other files and links

Fingerprint

Cite this