scholarly journals Off-shell Green functions at one-loop level in Maxwell-Chern-Simons quantum electrodynamics

2013 ◽  
Vol 87 (3) ◽  
Author(s):  
Y. Concha-Sánchez ◽  
A. Raya ◽  
M. E. Tejeda-Yeomans
Keyword(s):  
Quantum Electrodynamics ◽  
Green Functions ◽  
Loop Level ◽  
Chern Simons

scholarly journals Chern-Simons terms in Lifshitz-like quantum electrodynamics

2013 ◽  
Vol 88 (6) ◽  
Author(s):  
Van Sérgio Alves ◽  
B. Charneski ◽  
M. Gomes ◽  
Leonardo Nascimento ◽  
Francisco Peña
Keyword(s):  
Quantum Electrodynamics ◽  
Chern Simons

SOME REMARKS CONCERNING THE FINITENESS OF N=4 SUPERSYMMETRIC YANG MILLS THEORIES

1988 ◽  
Vol 03 (01) ◽  
pp. 65-70 ◽  
Author(s):  
A. Bassetto ◽  
M. Dalbosco
Keyword(s):  
Light Cone ◽  
Green Functions ◽  
Loop Order ◽  
Light Cone Gauge ◽  
Yang Mills ◽  
Loop Level ◽  
Recent Treatment ◽  
The One

We carefully discuss the finiteness of SUSY YM N=4 in the light cone gauge, first at the one loop level by directly exhibiting the relevant terms of the lowest order Green functions and then at any loop order by using a recent treatment of the renormalization of general Yang-Mills theories in the light cone gauge. We point out the existence of a set of divergent Green functions which however do not contribute to observable quantities, thereby recovering consistency with formulations in other gauges.

A path space formula for Gauss vectors in Chern–Simons quantum electrodynamics

1999 ◽  
Vol 40 (11) ◽  
pp. 5318-5340 ◽  
Author(s):  
John L. Challifour ◽  
John P. Clancy
Keyword(s):  
Quantum Electrodynamics ◽  
Path Space ◽  
Chern Simons

scholarly journals ON THE RENORMALIZABILITY OF THEORIES WITH GAUGE ANOMALIES

2000 ◽  
Vol 15 (29) ◽  
pp. 4603-4622 ◽  
Author(s):  
RODOLFO CASANA ◽  
SEBASTIÃO A. DIAS
Keyword(s):  
Gauge Invariance ◽  
Gauge Theories ◽  
Tree Level ◽  
Green Functions ◽  
Photon Propagator ◽  
Loop Level ◽  
Loop Expansion ◽  
Gauge Anomalies

We consider the detailed renormalization of two (1+1)-dimensional gauge theories which are quantized without preserving gauge invariance: the chiral and the "anomalous" Schwinger models. By regularizing the nonperturbative divergences that appear in fermionic Green functions of both models, we show that the "tree level" photon propagator is ill defined, thus forcing one to use the complete photon propagator in the loop expansion of these functions. We perform the renormalization of these divergences in both models to one-loop level, defining it in a consistent and semiperturbative sense that we propose in this paper.

scholarly journals PERTURBATIVE ANALYSIS OF CHERN–SIMONS FIELD THEORY IN THE COULOMB GAUGE

1998 ◽  
Vol 13 (11) ◽  
pp. 1773-1783 ◽  
Author(s):  
FRANCO FERRARI ◽  
IGNAZIO LAZZIZZERA
Keyword(s):  
Perturbative Expansion ◽  
Coulomb Gauge ◽  
Feynman Diagrams ◽  
Field Theories ◽  
Green Functions ◽  
Loop Order ◽  
Yang Mills ◽  
Gauge Fixing ◽  
Infrared Divergences ◽  
Chern Simons

In this paper, we analyse the perturbative aspects of Chern–Simons field theories in the Coulomb gauge. We show that in the perturbative expansion of the Green functions there are neither ultraviolet nor infrared divergences. Moreover, all the radiative corrections are zero at any loop order. Some problems connected with the Coulomb gauge fixing, like the appearance of spurious singularities in the computation of the Feynman diagrams, are discussed and solved. The regularization used here for the spurious singularities can be easily applied also to the Yang–Mills case, which is affected by similar divergences.

scholarly journals Pseudo quantum electrodynamics and Chern-Simons theory coupled to two-dimensional electrons

2020 ◽  
Vol 101 (11) ◽  
Author(s):  
Gabriel C. Magalhães ◽  
Van Sérgio Alves ◽  
E. C. Marino ◽  
Leandro O. Nascimento
Keyword(s):  
Quantum Electrodynamics ◽  
Simons Theory ◽  
Two Dimensional ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals On the Green-Functions of the Quantum Electrodynamics

1952 ◽  
Vol 7 (3) ◽  
pp. 328-328
Author(s):  
R. Utiyama ◽  
S. Sunakawa ◽  
T. Imamura
Keyword(s):  
Quantum Electrodynamics ◽  
Green Functions
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