Results 71 to 80 of about 772,386 (220)

Geometric Theory of Heat from Souriau Lie Groups Thermodynamics and Koszul Hessian Geometry: Applications in Information Geometry for Exponential Families

Entropy, 2016
We introduce the symplectic structure of information geometry based on Souriau’s Lie group thermodynamics model, with a covariant definition of Gibbs equilibrium via invariances through co-adjoint action of a group on its moment space, defining physical ...
Frédéric Barbaresco
doaj   +1 more source

Quantization of 2D Abelian Gauge Theory without the Kinetic Term of Gauge Field as Anomalous Gauge Theory [PDF]

arXiv, 1995
The massless Schwinger model without the kinetic term of gauge field has gauge anomaly. We quantize the model as an anomalous gauge theory in the most general class of gauge conditions. We show that the gauge field becomes a dynamical variable because of gauge anomaly.
arxiv  

Gauge theory on ρ-Minkowski space-time

Journal of High Energy Physics
We construct a gauge theory model on the 4-dimensional ρ-Minkowski space-time, a particular deformation of the Minkowski space-time recently considered. The corresponding star product results from a combination of Weyl quantization map and properties of ...
Valentine Maris, Jean-Christophe Wallet
doaj   +1 more source

Singular Gauge Transformation in Non-Commutative U(2) Gauge Theory [PDF]

arXiv, 2004
A method developed by Polychronakos to study singular gauge transformations in 1+2 dimensional non-commutative Chern-Simons gauge theory is generalized from U(1) group to U(2) group. The method clarifies the singular behavior of topologically non-trivial gauge transformations in non-commutative gauge theory, which appears when the gauge transformations
arxiv  

Torsion in gauge theory [PDF]

Physical Review D, 2018
The potential conflict between torsion and gauge symmetry in the Riemann-Cartan curved space-time was noted by Kibble in his 1961 pioneering paper, and has since been discussed by many authors. Kibble suggested that, to preserve gauge symmetry, one should forgo the covariant derivative in favor of the ordinary derivative in the definition of the field ...
openaire   +3 more sources

A Map between (q,h)-deformed Gauge Theories and ordinary Gauge Theories [PDF]

arXiv, 2003
We introduce a new map between a (q,h)-deformed gauge theory and ordinary gauge theory in a full analogy with Seiberg-Witten map.
arxiv  

Deformed Gauge Theories [PDF]

Journal of Physics: Conference Series, 2006
Gauge theories are studied on a space of functions with the Moyal-Weyl product. The development of these ideas follows the differential geometry of the usual gauge theories, but several changes are forced upon us. The Leibniz rule has to be changed such that the theory is now based on a twisted Hopf algebra.
openaire   +4 more sources

Renormalization of gauge theories [PDF]

Annals of Physics, 1976
Gauge theories are characterized by the Slavnov identities which express their invariance under a family of transformations of the supergauge type which involve the Faddeev Popov ghosts. These identities are proved to all orders of renormalized perturbation theory, within the BPHZ framework, when the underlying Lie algebra is semisimple and the gauge ...
BECCHI, CARLO MARIA, A. ROUET, R. STORA
openaire   +3 more sources

On the Problem of Gauge-Invariancy and Divergence in the Theory of Elementary Particles, I [PDF]

, 1951
H. Umezawa, Rokuo Kawabe
openalex   +2 more sources

Energy-momentum conservation laws in gauge theory with broken gauge symmetries [PDF]

arXiv, 2002
If a Lagrangian of gauge theory of internal symmetries is not gauge-invariant, the energy-momentum fails to be conserved in general.
arxiv