Implications of Homogeneity in Miron’s Sense in Gauge Theories of Second Order

2003 ◽  
pp. 277-285
Author(s):  
Adrian Sandovici
Keyword(s):  
Gauge Theories ◽  
Second Order

scholarly journals THE EFFECT OF DIFFERENT REGULATORS IN THE NONLOCAL FIELD–ANTIFIELD QUANTIZATION

2000 ◽  
Vol 15 (08) ◽  
pp. 1207-1224 ◽  
Author(s):  
EVERTON M. C. ABREU
Keyword(s):  
Gauge Theories ◽  
Second Order ◽  
Schwinger Model ◽  
Nonlocal Field ◽  
Nonlocal Regularization ◽  
Made In

Recently it was shown how to regularize the Batalin–Vilkovisky (BV) field–antifield formalism of quantization of gauge theories with the nonlocal regularization (NLR) method. The objective of this work is to make an analysis of the behavior of this NLR formalism, connected to the BV framework, using two different regulators: a simple second order differential regulator and a Fujikawa-like regulator. This analysis has been made in the light of the well-known fact that different regulators can generate different expressions for anomalies that are related by a local counterterm, or that are equivalent after a reparametrization. This has been done by computing precisely the anomaly of the chiral Schwinger model.

scholarly journals Second order fermions in gauge theories

1995 ◽  
Vol 351 (1-3) ◽  
pp. 249-256 ◽  
Author(s):  
A.G. Morgan
Keyword(s):  
Gauge Theories ◽  
Second Order

scholarly journals Perturbative linearization of supersymmetric Yang-Mills theory

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Sudarshan Ananth ◽  
Olaf Lechtenfeld ◽  
Hannes Malcha ◽  
Hermann Nicolai ◽  
Chetan Pandey ◽  
...  
Keyword(s):  
Gauge Theories ◽  
Second Order ◽  
Coupling Constant ◽  
Supersymmetric Gauge Theories ◽  
Third Order ◽  
Yang Mills ◽  
Fresh Perspective ◽  
Supersymmetric Gauge ◽  
Jacobi Determinant

Abstract Supersymmetric gauge theories are characterized by the existence of a transformation of the bosonic fields (Nicolai map) such that the Jacobi determinant of the transformation equals the product of the Matthews-Salam-Seiler and Faddeev-Popov determinants. This transformation had been worked out to second order in the coupling constant. In this paper, we extend this result (and the framework itself ) to third order in the coupling constant. A diagrammatic approach in terms of tree diagrams, aiming to extend this map to arbitrary orders, is outlined. This formalism bypasses entirely the use of anti-commuting variables, as well as issues concerning the (non-)existence of off-shell formulations for these theories. It thus offers a fresh perspective on supersymmetric gauge theories and, in particular, the ubiquitous $$ \mathcal{N} $$ N = 4 theory.

scholarly journals ON THE ALL ORDER SOLUTIONS OF SEIBERG-WITTEN MAP FOR NONCOMMUTATIVE GAUGE THEORIES

2012 ◽  
Vol 13 ◽  
pp. 191-198 ◽  
Author(s):  
KAYHAN ÜLKER
Keyword(s):  
Gauge Theories ◽  
General Structure ◽  
Homogeneous Solution ◽  
Second Order ◽  
Homogeneous Solutions ◽  
First Order ◽  
Noncommutative Gauge Theories ◽  
Recursive Solutions

We review the recursive solutions of the Seiberg–Witten map to all orders in θ for gauge, matter and ghost fields. We also present the general structure of the homogeneous solutions of the defining equations. Moreover, we show that the contribution of the first order homogeneous solution to the second order can be written recursively similar to inhomogeneous solutions.

Cancellation of Infinities in Second-Order Radiative Corrections in Unified Gauge Theories

1973 ◽  
Vol 8 (2) ◽  
pp. 481-484 ◽  
Author(s):  
Rabindra N. Mohapatra ◽  
Patrizio Vinciarelli
Keyword(s):  
Gauge Theories ◽  
Second Order ◽  
Radiative Corrections
Sign in / Sign up

Export Citation Format

Share Document