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Title: Study of a two-dimensional model with axial-current-pseudoscalar derivative interaction

Abstract

A detailed study is made of a massive pseudoscalar field interacting via derivative coupling with massless fermions in two-dimensional space-time. The model provides an example of a soluble renormalizable theory with an anomalous axial-vector current and a zero-mass particle interpretation for the fermion. Except for a finite mass and wavefunction renormalization, the boson remains free in the presence of the interaction. The canonical fermion field exhibits an anomalous dimension that is found to be in agreement with the asymptotic Callan- Symanzik equation. The connection between the Wilson expansion for defining operator products in this model and the Dyson equations of renormalized perturbation theory is discussed, and agreement with second-order perturbation theory is verified by explicit calculation. (AIP)

Authors:
;
Publication Date:
Research Org.:
Institut fur Theoretische Physik der Universitat Heidelberg, Heidelberg, Germany
Sponsoring Org.:
USDOE
OSTI Identifier:
4058066
NSA Number:
NSA-33-027888
Resource Type:
Journal Article
Journal Name:
Ann. Phys. (N.Y.), v. 95, no. 1, pp. 202-226
Additional Journal Information:
Other Information: Orig. Receipt Date: 30-JUN-76
Country of Publication:
United States
Language:
English
Subject:
N76200* -Physics (Theoretical)-Quantum Field Theories; 641300*; *LAGRANGIAN FIELD THEORY- VERTEX FUNCTIONS; AXIAL-VECTOR CURRENTS; FERMIONS; PERTURBATION THEORY; PSEUDOSCALARS; RENORMALIZATION; TWO-DIMENSIONAL CALCULATIONS

Citation Formats

Rothe, K D, and Stamatescu, I O. Study of a two-dimensional model with axial-current-pseudoscalar derivative interaction. United States: N. p., 1975. Web. doi:10.1016/0003-4916(75)90050-0.
Rothe, K D, & Stamatescu, I O. Study of a two-dimensional model with axial-current-pseudoscalar derivative interaction. United States. https://doi.org/10.1016/0003-4916(75)90050-0
Rothe, K D, and Stamatescu, I O. 1975. "Study of a two-dimensional model with axial-current-pseudoscalar derivative interaction". United States. https://doi.org/10.1016/0003-4916(75)90050-0.
@article{osti_4058066,
title = {Study of a two-dimensional model with axial-current-pseudoscalar derivative interaction},
author = {Rothe, K D and Stamatescu, I O},
abstractNote = {A detailed study is made of a massive pseudoscalar field interacting via derivative coupling with massless fermions in two-dimensional space-time. The model provides an example of a soluble renormalizable theory with an anomalous axial-vector current and a zero-mass particle interpretation for the fermion. Except for a finite mass and wavefunction renormalization, the boson remains free in the presence of the interaction. The canonical fermion field exhibits an anomalous dimension that is found to be in agreement with the asymptotic Callan- Symanzik equation. The connection between the Wilson expansion for defining operator products in this model and the Dyson equations of renormalized perturbation theory is discussed, and agreement with second-order perturbation theory is verified by explicit calculation. (AIP)},
doi = {10.1016/0003-4916(75)90050-0},
url = {https://www.osti.gov/biblio/4058066}, journal = {Ann. Phys. (N.Y.), v. 95, no. 1, pp. 202-226},
number = ,
volume = ,
place = {United States},
year = {Sat Nov 01 00:00:00 EST 1975},
month = {Sat Nov 01 00:00:00 EST 1975}
}