scholarly journals Compact three-dimensional QED: A simple example of a variational calculation in a gauge theory

1995 ◽  
Vol 51 (4) ◽  
pp. 1948-1955 ◽  
Author(s):  
Ian I. Kogan ◽  
Alex Kovner
Keyword(s):  
Gauge Theory ◽  
Three Dimensional ◽  
Variational Calculation

scholarly journals DISCRETE AND CONTINUUM APPROACHES TO THREE-DIMENSIONAL QUANTUM GRAVITY

1991 ◽  
Vol 06 (39) ◽  
pp. 3591-3600 ◽  
Author(s):  
HIROSI OOGURI ◽  
NAOKI SASAKURA
Keyword(s):  
Gauge Theory ◽  
Moduli Space ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Analogue Model ◽  
Gauge Invariant ◽  
Invariant Functions ◽  
Dimensional Lattice ◽  
Chern Simons ◽  
Dimensional Surface

It is shown that, in the three-dimensional lattice gravity defined by Ponzano and Regge, the space of physical states is isomorphic to the space of gauge-invariant functions on the moduli space of flat SU(2) connections over a two-dimensional surface, which gives physical states in the ISO(3) Chern–Simons gauge theory. To prove this, we employ the q-analogue of this model defined by Turaev and Viro as a regularization to sum over states. A recent work by Turaev suggests that the q-analogue model itself may be related to an Euclidean gravity with a cosmological constant proportional to 1/k2, where q=e2πi/(k+2).

Three-dimensional lattice gauge theory and strings

1984 ◽  
Vol 244 (1) ◽  
pp. 262-276 ◽  
Author(s):  
J. Ambjørn ◽  
P. Olesen ◽  
C. Peterson
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Three Dimensional ◽  
Dimensional Lattice ◽  
Lattice Gauge

A three-dimensional gauge theory

1992 ◽  
Vol 70 (5) ◽  
pp. 301-304 ◽  
Author(s):  
D. G. C. McKeon
Keyword(s):  
Gauge Theory ◽  
Scalar Field ◽  
Three Dimensional ◽  
Background Field ◽  
Field Method ◽  
Simons Theory ◽  
Point Function ◽  
Background Field Method ◽  
Chern Simons ◽  
Chern Simons Theory

We investigate a three-dimensional gauge theory modeled on Chern–Simons theory. The Lagrangian is most compactly written in terms of a two-index tensor that can be decomposed into fields with spins zero, one, and two. These all mix under the gauge transformation. The background-field method of quantization is used in conjunction with operator regularization to compute the real part of the two-point function for the scalar field.

scholarly journals Three-dimensional finite temperature gauge theory in the confined region and the string picture

2010 ◽  
Vol 836 (1-2) ◽  
pp. 91-99 ◽  
Author(s):  
P. Bialas ◽  
L. Daniel ◽  
A. Morel ◽  
B. Petersson
Keyword(s):  
Gauge Theory ◽  
Finite Temperature ◽  
Three Dimensional
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