scholarly journals THE TWO WAYS OF GAUGING THE POINCARÉ GROUP

2009 ◽  
Vol 06 (07) ◽  
pp. 1115-1134
Author(s):  
A. SPIRO ◽  
S. TANTUCCI
Keyword(s):  
Gauge Theory ◽  
Equivalence Principle ◽  
Gauge Fields ◽  
Poincaré Group ◽  
Poincare Group ◽  
Gauge Transformations ◽  
Theory Of Gravity ◽  
Explicit Expressions

A description of how a theory of gravity can be considered as a gauge theory (in the sense of Trautman) of the Poincaré group is given. As a result, it is shown that a gauge theory of this kind is consistent with the Equivalence Principle only if the Lagrangian and the constraints are preserved not only by the gauge transformations but also by an additional family of transformations, called pseudo-translations. Explicit expressions of pseudo-translations and of their action on gravitational gauge fields are given. They are expected to be useful for geometric interpretations of their analogues in supergravity theories.

scholarly journals EXTENSION OF THE POINCARÉ GROUP AND NON-ABELIAN TENSOR GAUGE FIELDS

2010 ◽  
Vol 25 (31) ◽  
pp. 5765-5785 ◽  
Author(s):  
GEORGE SAVVIDY
Keyword(s):  
Gauge Group ◽  
Gauge Transformation ◽  
Space Time ◽  
Gauge Fields ◽  
Poincaré Group ◽  
Matrix Representations ◽  
Poincare Group ◽  
Yang Mills ◽  
The Matrix ◽  
Transversal Plane

In the recently proposed generalization of the Yang–Mills theory, the group of gauge transformation gets essentially enlarged. This enlargement involves a mixture of the internal and space–time symmetries. The resulting group is an extension of the Poincaré group with infinitely many generators which carry internal and space–time indices. The matrix representations of the extended Poincaré generators are expressible in terms of Pauli–Lubanski vector in one case and in terms of its invariant derivative in another. In the later case the generators of the gauge group are transversal to the momentum and are projecting the non-Abelian tensor gauge fields into the transversal plane, keeping only their positively definite spacelike components.

scholarly journals COUPLINGS BETWEEN A COLLECTION OF BF MODELS AND A SET OF THREE-FORM GAUGE FIELDS

2006 ◽  
Vol 21 (31) ◽  
pp. 6477-6490 ◽  
Author(s):  
CONSTANTIN BIZDADEA ◽  
EUGEN-MIHĂIŢĂ CIOROIANU ◽  
SILVIU CONSTANTIN SĂRARU
Keyword(s):  
Gauge Theory ◽  
Master Equation ◽  
Gauge Fields ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Gauge Transformations ◽  
Free Theory ◽  
Lagrangian Action ◽  
Deformation Procedure

Consistent interactions that can be added to a free, Abelian gauge theory comprising a collection of BF models and a set of three-form gauge fields are constructed from the deformation of the solution to the master equation based on specific cohomological techniques. Under the hypotheses of smooth, local, PT invariant, Lorentz covariant, and Poincaré invariant interactions, supplemented with the requirement on the preservation of the number of derivatives on each field with respect to the free theory, we obtain that the deformation procedure modifies the Lagrangian action, the gauge transformations as well as the accompanying algebra.

Complete Gauge theory for the whole Poincaré group

1984 ◽  
Vol 23 (4) ◽  
pp. 301-323 ◽  
Author(s):  
R. Aldrovandi ◽  
E. Stédile
Keyword(s):  
Gauge Theory ◽  
Poincaré Group ◽  
Poincare Group

scholarly journals ON THE CORRESPONDENCE BETWEEN NONCOMMUTATIVE FIELD THEORY AND GRAVITY

2007 ◽  
Vol 22 (16) ◽  
pp. 1119-1132 ◽  
Author(s):  
HYUN SEOK YANG
Keyword(s):  
Field Theory ◽  
Gauge Theory ◽  
Gauge Fields ◽  
Noncommutative Field Theory ◽  
Basic Reason ◽  
New Development ◽  
Collective Phenomenon ◽  
Darboux Theorem ◽  
Theory Of Gravity

In this brief review, we summarize the new development on the correspondence between noncommutative (NC) field theory and gravity, shortly referred to as the NCFT/Gravity correspondence. We elucidate why a gauge theory in NC spacetime should be a theory of gravity. A basic reason for the NCFT/Gravity correspondence is that the Λ-symmetry (or B-field transformations) in NC spacetime can be considered as a par with diffeomorphisms, which results from the Darboux theorem. This fact leads to a striking picture about gravity: Gravity can emerge from a gauge theory in NC spacetime. Gravity is then a collective phenomenon emerging from gauge fields living in fuzzy spacetime.

ZERO ENERGY GAUGE FIELDS AND THE PHASES OF A GAUGE THEORY

1990 ◽  
Vol 05 (14) ◽  
pp. 2783-2798 ◽  
Author(s):  
E.I. GUENDELMAN
Keyword(s):  
Gauge Theory ◽  
Gauge Fields ◽  
Zero Energy ◽  
Massless Particles ◽  
New Approach ◽  
Gauge Transformations ◽  
Definition Of ◽  
Higgs Fields ◽  
Invariant Gauge

A new approach to the definition of the phases of a Poincare invariant gauge theory is developed. It is based on the role of gauge transformations that change the asymptotic value of the gauge fields from zero to a constant. In the context of theories without Higgs fields, this symmetry can be spontaneously broken when the gauge fields are massless particles, explicitly broken when the gauge fields develop a mass. Finally, the vacuum can be invariant under this transformation, this last case can be achieved when the theory has a violent infrared behavior, which in some theories can be connected to a confinement mechanism.

DIFFEOMORPHICALLY NONEQUIVALENT CLASSES OF SOLUTIONS IN GAUGE THEORIES ON GROUP MANIFOLDS

1988 ◽  
Vol 03 (10) ◽  
pp. 2303-2313
Author(s):  
C. ABECASIS ◽  
A. FOUSSATS ◽  
O. ZANDRON
Keyword(s):  
Supersymmetric Gauge Theory ◽  
Gauge Theory ◽  
Gauge Theories ◽  
Poincare Group ◽  
Yang Mills ◽  
Group Manifold ◽  
Theory Of Gravity ◽  
Supersymmetric Gauge ◽  
Geometrical Formulation ◽  
Gauge Theory Of Gravity

For the Poincare group manifold we prove that there are solutions for the pseudo-connection one-forms (Yang-Mills potentials) which are not diffeomorphically equivalent to those initially proposed by Ne’eman and Regge in their gauge theory of gravity and supergravity on a (super) group manifold. This is done by imposing the factorization conditions to the geometrical formulation of supersymmetric gauge theory.

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