Path Integrals and Gauge Theories

1974 ◽  
pp. 61-74
Author(s):  
Benjamin W. Lee
Keyword(s):  
Gauge Theories ◽  
Path Integrals

Path integrals in gauge theories

2011 ◽  
pp. 316-385
Author(s):  
Lev V. Prokhorov ◽  
Sergei V. Shabanov
Keyword(s):  
Gauge Theories ◽  
Path Integrals

DECONFINEMENT TEMPERATURES FOR SMOOTH STRINGS

1989 ◽  
Vol 04 (01) ◽  
pp. 99-106 ◽  
Author(s):  
XIAOAN ZHOU ◽  
K. S. VISWANATHAN
Keyword(s):  
Free Energy ◽  
Riemann Surfaces ◽  
Reasonable Agreement ◽  
Gauge Theories ◽  
Path Integrals ◽  
String Tension ◽  
Monte Carlo Data ◽  
Lattice Gauge ◽  
Lattice Gauge Theories ◽  
Genus One

Deconfinement temperatures for smooth strings are obtained by analyzing the free energy of a collection of smooth string excitations. This corresponds to evaluating path integrals on genus one Riemann surfaces. We find that [Formula: see text], where σ is the string tension, for closed smooth strings and [Formula: see text] for open smooth strings, in reasonable agreement with Monte Carlo data for SU(3) lattice gauge theories.

scholarly journals Undoing decomposition

2019 ◽  
Vol 34 (35) ◽  
pp. 1950233 ◽  
Author(s):  
Eric Sharpe
Keyword(s):  
Sigma Model ◽  
Gauge Theories ◽  
Disjoint Union ◽  
Path Integrals ◽  
Two Dimensions ◽  
Linear Sigma Model ◽  
Two Dimensional ◽  
Yang Mills ◽  
Witten Theory ◽  
Supersymmetric Gauge

In this paper we discuss gauging one-form symmetries in two-dimensional theories. The existence of a global one-form symmetry in two dimensions typically signals a violation of cluster decomposition — an issue resolved by the observation that such theories decompose into disjoint unions, a result that has been applied to, for example, Gromov–Witten theory and gauged linear sigma model phases. In this paper we describe how gauging one-form symmetries in two-dimensional theories can be used to select particular elements of that disjoint union, effectively undoing decomposition. We examine such gaugings explicitly in examples involving orbifolds, nonsupersymmetric pure Yang–Mills theories, and supersymmetric gauge theories in two dimensions. Along the way, we learn explicit concrete details of the topological configurations that path integrals sum over when gauging a one-form symmetry, and we also uncover “hidden” one-form symmetries.

GAUGE FIXING, UNITARITY AND PHASE SPACE PATH INTEGRALS

1992 ◽  
Vol 07 (21) ◽  
pp. 5245-5279 ◽  
Author(s):  
MARTIN LAVELLE ◽  
DAVID MCMULLAN
Keyword(s):  
Phase Space ◽  
Path Integral ◽  
Wide Class ◽  
Gauge Theories ◽  
Path Integrals ◽  
Landau Gauge ◽  
Coulomb Gauge ◽  
Restricted Version ◽  
Feynman Gauge ◽  
Gauge Fixing

We analyse the extent to which path integral techniques can be used to directly prove the unitarity of gauge theories. After reviewing the limitations of the most widely used approaches, we concentrate upon the method which is commonly regarded as solving the problem, i.e. that of Fradkin and Vilkovisky. We show through explicit counterexamples that their main theorem is incorrect. A proof is presented for a restricted version of their theorem. From this restricted theorem we are able to rederive Faddeev’s unitary phase space results for a wide class of canonical gauges (which includes the Coulomb gauge) and for the Feynman gauge. However, we show that there are serious problems with the extensions of this argument to the Landau gauge and hence the full Lorentz class. We conclude that there does not yet exist any satisfactory path integral discussion of the covariant gauges.

scholarly journals Thermal Gauge Theories with Lagrange Multiplier Fields

2021 ◽  
Author(s):  
F.T. Brandt ◽  
J. Frenkel ◽  
S. Martins-Filho ◽  
G.S.S Sakoda ◽  
D.G.C. McKeon
Keyword(s):  
Quantum Gravity ◽  
Lagrange Multiplier ◽  
Finite Temperature ◽  
Gauge Theories ◽  
Equations Of Motion ◽  
Path Integrals ◽  
Radiative Corrections ◽  
Loop Order ◽  
Yang Mills

We study the Yang-Mills theory and quantum gravity at finite temperature, in the presence of La-grange multiplier fields. These restrict the path integrals to field configurations which obey the classical equations of motion. This has the effect of doubling the usual one–loop thermal contributions and of suppressing all radiative corrections at higher loop order. Such theories are renormalizable at all temperatures. Some consequences of this result in quantum gravity are briefly examined.

Equivalence of the Hamiltonian and Lagrangian path integrals for gauge theories

1991 ◽  
Vol 354 (1) ◽  
pp. 191-217 ◽  
Author(s):  
Alain Dresse ◽  
Jean M.L. Fisch ◽  
Philippe Gregoire ◽  
Marc Henneaux
Keyword(s):  
Gauge Theories ◽  
Path Integrals

Gauge theories as string theories: the first results

2005 ◽  
Vol 175 (11) ◽  
pp. 1145 ◽  
Author(s):  
A.S. Gorskii
Keyword(s):  
Gauge Theories ◽  
First Results ◽  
String Theories
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