Gauge theories on open spin space-time manifolds

1987 ◽  
Vol 26 (7) ◽  
pp. 637-647
Author(s):  
Krystyna Bugajska
Keyword(s):  
Gauge Theories ◽  
Space Time ◽  
Spin Space

scholarly journals Uq(N) GAUGE THEORIES

1994 ◽  
Vol 09 (30) ◽  
pp. 2835-2847 ◽  
Author(s):  
LEONARDO CASTELLANI
Keyword(s):  
Quantum Groups ◽  
Differential Calculus ◽  
Gauge Theories ◽  
Space Time ◽  
Yang Mills ◽  
Commutation Relations ◽  
Transformation Rules ◽  
Field Strengths

Improving on an earlier proposal, we construct the gauge theories of the quantum groups U q(N). We find that these theories are also consistent with an ordinary (commuting) space-time. The bicovariance conditions of the quantum differential calculus are essential in our construction. The gauge potentials and the field strengths are q-commuting "fields," and satisfy q-commutation relations with the gauge parameters. The transformation rules of the potentials generalize the ordinary infinitesimal gauge variations. For particular deformations of U (N) ("minimal deformations"), the algebra of quantum gauge variations is shown to close, provided the gauge parameters satisfy appropriate q-commutations. The q-Lagrangian invariant under the U q(N) variations has the Yang–Mills form [Formula: see text], the "quantum metric" gij being a generalization of the Killing metric.

Space-time independent potentials for SU(2), SU(1,1) and E(2) gauge theories

1979 ◽  
Vol 82 (3-4) ◽  
pp. 404-406 ◽  
Author(s):  
H. Bacry ◽  
J. Nuyts
Keyword(s):  
Gauge Theories ◽  
Space Time

scholarly journals Renormalization of gauge theories in curved space-time

2010 ◽  
Vol 81 (4) ◽  
Author(s):  
Peter M. Lavrov ◽  
Ilya L. Shapiro
Keyword(s):  
Gauge Theories ◽  
Space Time ◽  
Curved Space

scholarly journals Schwarzschild Space-Time in Gauge Theories of Gravity

1998 ◽  
Vol 99 (6) ◽  
pp. 971-992
Author(s):  
T. Kawai ◽  
E. Sakane ◽  
T. Tojo
Keyword(s):  
Gauge Theories ◽  
Space Time ◽  
Theories Of Gravity

scholarly journals A study of exactly solvable lattice gauge theories in two space-time dimensions

1981 ◽  
Vol 100 (1) ◽  
pp. 29-33 ◽  
Author(s):  
C.B. Lang ◽  
P. Salomonson ◽  
B.S. Skagerstam
Keyword(s):  
Gauge Theories ◽  
Space Time ◽  
Lattice Gauge ◽  
Exactly Solvable ◽  
Lattice Gauge Theories

ULTRAVIOLET FINITE GAUGE THEORIES IN THE FIVE-DIMENSIONAL SPACE-TIME

1993 ◽  
Vol 08 (35) ◽  
pp. 3345-3348
Author(s):  
V. V. BELOKUROV ◽  
M. Z. IOFA
Keyword(s):  
High Power ◽  
Gauge Theories ◽  
Dimensional Space ◽  
Arbitrary Dimension ◽  
Space Time ◽  
Covariant Derivatives ◽  
Dimensional Space Time ◽  
The One

Ultraviolet divergencies in gauge theories including those with higher powers of covariant derivatives are discussed in a space-time of an arbitrary dimension. In particular, it is noted that in the case d=5 all the one-loop graphs are finite, and theories with sufficiently high power of derivatives are finite in all orders.

scholarly journals TACHYON-FREE NONSUPERSYMMETRIC STRINGS ON ORBIFOLDS

2008 ◽  
Vol 23 (26) ◽  
pp. 4371-4386 ◽  
Author(s):  
ZURAB KAKUSHADZE
Keyword(s):  
Fixed Points ◽  
Gauge Theories ◽  
Phase 1 ◽  
Space Time ◽  
Discrete Torsion ◽  
Even Order

We discuss tachyon-free examples of (Type IIB on) noncompact nonsupersymmetric orbifolds. Tachyons are projected out by discrete torsion between orbifold twists, while supersymmetry is broken by a Scherk–Schwarz phase (+1/-1 when acting on space–time bosons/fermions) accompanying some even order twists. The absence of tachyons is encouraging for constructing nonsupersymmetric D3-brane gauge theories with stable infrared fixed points. The D3-brane gauge theories in our orbifold backgrounds have chiral [Formula: see text] supersymmetric spectra, but nonsupersymmetric interactions.

A NOVEL APPROACH TO DOUBLE COMMUTATORS IN CHIRAL GAUGE THEORIES CONSISTENT WITH THE JACOBI IDENTITY

1991 ◽  
Vol 06 (29) ◽  
pp. 5287-5305 ◽  
Author(s):  
R. BANERJEE ◽  
H.J. ROTHE
Keyword(s):  
Electric Fields ◽  
Jacobi Identity ◽  
Gauge Theories ◽  
Iterative Scheme ◽  
Space Time ◽  
Iterative Computation ◽  
Consistency Equation ◽  
Novel Approach

We give a BJL-type prescription for calculating a double commutator which manifestly respects the Jacobi identity. This prescription is used to calculate the double commutators of currents and electric fields in chiral gauge theories, where they are known to violate the Jacobi identity in an iterative computation. We then derive a consistency equation relating the Schwinger terms of the double commutators of currents and the divergence anomaly. While this consistency equation is violated by the iterative scheme in four space-time dimensions, it is found to be satisfied using our prescription.

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