Periodic problem for the classical two-dimensional Thirring model

1980 ◽  
Vol 31 (4) ◽  
pp. 362-367
Author(s):  
A. K. Prikarpatskii ◽  
P. I. Golod
Keyword(s):  
Periodic Problem ◽  
Thirring Model ◽  
Two Dimensional

Exact results in the two-dimensional U(1)-symmetric Thirring model

1984 ◽  
Vol 230 (4) ◽  
pp. 511-547 ◽  
Author(s):  
G.I. Japaridze ◽  
A.A. Nersesyan ◽  
P.B. Wiegmann
Keyword(s):  
Thirring Model ◽  
Exact Results ◽  
Two Dimensional

scholarly journals TWISTED BOSONIZATION IN TWO-DIMENSIONAL NONCOMMUTATIVE SPACETIME

2012 ◽  
Vol 27 (25) ◽  
pp. 1250149 ◽  
Author(s):  
ASRARUL HAQUE ◽  
T. R. GOVINDARAJAN
Keyword(s):  
Thirring Model ◽  
Weak Duality ◽  
Two Dimensional ◽  
Massive Thirring Model ◽  
Commutation Relations ◽  
Fermionic Operators ◽  
Dual Relationship ◽  
Noncommutative Spacetime ◽  
Sine Gordon Model

We study the twisted bosonization of massive Thirring model to relate to sine-Gordon model in Moyal spacetime using twisted commutation relations. We obtain the relevant twisted bosonization rules. We show that there exists dual relationship between twisted bosonic and fermionic operators. The strong–weak duality is also observed to be preserved as its commutative counterpart.

scholarly journals Nonperturbative aspects of the two-dimensional massive gauged Thirring model

2014 ◽  
Vol 29 (23) ◽  
pp. 1450122 ◽  
Author(s):  
R. Bufalo ◽  
B. M. Pimentel
Keyword(s):  
Green's Functions ◽  
Green’S Functions ◽  
Thirring Model ◽  
Two Dimensional ◽  
Fermionic Fields ◽  
Massive Theory ◽  
Bosonic Representation

In this paper, we present a study based on the use of functional techniques on the issue of insertions of massive fermionic fields in the two-dimensional massless gauged Thirring model. As it will be shown, the fermionic mass contributes to the Green's functions in a surprisingly simple way, leaving therefore the original nonperturbative nature of the massless results still intact in the massive theory. Also, by means of complementarity, we present a second discussion of the massive model, now at its bosonic representation.

On the complete integrability of the two-dimensional classical Thirring model

1977 ◽  
Vol 30 (3) ◽  
pp. 193-200 ◽  
Author(s):  
E. A. Kuznetsov ◽  
A. V. Mikhailov
Keyword(s):  
Complete Integrability ◽  
Thirring Model ◽  
Two Dimensional

scholarly journals TWO-DIMENSIONAL BOSONIZATION FROM VARIABLE SHIFTS IN THE PATH INTEGRAL

1999 ◽  
Vol 14 (12) ◽  
pp. 745-749 ◽  
Author(s):  
JAN B. THOMASSEN
Keyword(s):  
Explicit Form ◽  
Path Integral ◽  
Green's Functions ◽  
Green’S Functions ◽  
Thirring Model ◽  
Two Dimensional ◽  
Integral Property ◽  
Schwinger Model

A method to perform bosonization of a fermionic theory in (1+1) dimensions in a path integral framework is developed. The method relies exclusively on the path integral property of allowing variable shifts, and does not depend on the explicit form of Green's functions. Two examples, the Schwinger model and the massless Thirring model, are worked out.

A few solvable two-dimensional quantum field theories (QFT)

2021 ◽  
pp. 721-746
Author(s):  
Jean Zinn-Justin
Keyword(s):  
Quantum Electrodynamics ◽  
Particle Physics ◽  
Chiral Symmetry Breaking ◽  
Spin Model ◽  
Two Dimensions ◽  
Thirring Model ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Two Dimensional

The chapter is devoted to several two-dimensional quantum field theories (QFT), whose properties can be determined by non-perturbative methods. The Schwinger model, a model of two-dimensional quantum electrodynamics (QED) with massless fermions, illustrates the properties of confinement, spontaneous chiral symmetry breaking, asymptotic freedom and anomalies, properties one also expects in particle physics from quantum chromodynamics. The equivalence between the massive Thirring model, a fermion model with current–current interaction, and the sine-Gordon model is derived, using the bozonisation technique. The bosonization technique, based on an identity for Cauchy determinants, establishes relations, specific to two dimensions, between fermion and boson local field theories. Several generalized Thirring model are also discussed. In the discussion of the O(N) non-linear σ-model, it has been noticed that the Abelian case N = 2 is special, because the renormalization group (RG) β-function vanishes in two dimensions. The corresponding O(2) invariant spin model is especially interesting: it provides an example of the celebrated Kosterlitz–Thouless (KT) phase transition and will be studied elsewhere. This chapter also provides the necessary technical background for such an investigation.

Spectrophotometric measurements of objective-prism spectra

1966 ◽  
Vol 24 ◽  
pp. 118-119
Author(s):  
Th. Schmidt-Kaler
Keyword(s):  
Progress Report ◽  
Two Dimensional ◽  
Objective Prism ◽  
Made In

I should like to give you a very condensed progress report on some spectrophotometric measurements of objective-prism spectra made in collaboration with H. Leicher at Bonn. The procedure used is almost completely automatic. The measurements are made with the help of a semi-automatic fully digitized registering microphotometer constructed by Hög-Hamburg. The reductions are carried out with the aid of a number of interconnected programmes written for the computer IBM 7090, beginning with the output of the photometer in the form of punched cards and ending with the printing-out of the final two-dimensional classifications.

Sign in / Sign up

Export Citation Format

Share Document