scholarly journals SPACE–TIME TORSION AND PARITY VIOLATION: A GAUGE-INVARIANT FORMULATION

2002 ◽  
Vol 17 (01) ◽  
pp. 43-49 ◽  
Author(s):  
BISWARUP MUKHOPADHYAYA ◽  
SOUMITRA SENGUPTA ◽  
SAURABH SUR
Keyword(s):  
Parity Violation ◽  
Invariant Theory ◽  
Space Time ◽  
Gauge Invariant ◽  
Invariant Formulation ◽  
Chern Simons

The possibility of parity violation through space–time torsion has been explored in a scenario containing fields with different spins. Taking the Kalb–Ramond (KR) field as the source of torsion, an explicitly parity violating U (1) EM gauge-invariant theory has been constructed by extending the KR field with a Chern–Simons term.

Sectional Curvature and Chaos in Dynamical Problems: Toward the Invariant Measure of Chaos in Hamiltonian Systems

1993 ◽  
Vol 46 (7) ◽  
pp. 427-437 ◽  
Author(s):  
Marek Szydłowski ◽  
Adam Krawiec
Keyword(s):  
General Relativity ◽  
Invariant Measure ◽  
Coordinate System ◽  
Sectional Curvature ◽  
Hamiltonian Systems ◽  
Invariant Theory ◽  
Space Time ◽  
Gauge Invariant ◽  
Time Coordinate ◽  
Physical Description

Chaotic phenomena in general relativity are investigated. In relativistic astrophysical problems no space-time coordinate system is privileged in any way as far as the physical description of phenomena is concerned. Effects which depend on the choice of the particular coordinate system should be treated as an artifact of the incorrect methods. To avoid such difficulties the gauge invariant theory of chaos is proposed.

scholarly journals GAUGE FIELDS ON RIEMANN-CARTAN SPACE-TIMES

1994 ◽  
Vol 09 (11) ◽  
pp. 971-981 ◽  
Author(s):  
ALBERTO SAA
Keyword(s):  
Invariant Theory ◽  
Differential Forms ◽  
Space Time ◽  
Gauge Fields ◽  
Riemannian Structure ◽  
Minimal Coupling ◽  
Gauge Invariant ◽  
Exterior Calculus ◽  
Coupling Procedure ◽  
Action Formulation

Gauge fields are described on a Riemann-Cartan space-time by means of tensor-valued differential forms and exterior calculus. It is shown that minimal coupling procedure leads to a gauge invariant theory where gauge fields interact with torsion, and that consistency conditions for the gauge fields impose restrictions in the non-Riemannian structure of space-time. The new results differ from the well established ones obtained by using minimal coupling procedure at the action formulation. The sources of these differences are pointed out and discussed.

scholarly journals NEW GAUGE INVARIANT FORMULATION OF THE CHERN–SIMONS GAUGE THEORY: CLASSICAL AND QUANTAL ANALYSIS

2009 ◽  
Vol 24 (31) ◽  
pp. 5933-5975
Author(s):  
MU-IN PARK ◽  
YOUNG-JAI PARK
Keyword(s):  
Gauge Theory ◽  
Longitudinal Mode ◽  
Momentum Tensor ◽  
Simons Theory ◽  
Gauge Invariant ◽  
Invariant Formulation ◽  
Poincaré Algebra ◽  
Chern Simons ◽  
Schrödinger Picture ◽  
Chern Simons Theory

A recently proposed new gauge invariant formulation of the Chern–Simons gauge theory is considered in detail. This formulation is consistent with the gauge fixed formulation. Furthermore, it is found that the canonical (Noether) Poincaré generators are not gauge invariant even on the constraints surface and do not satisfy the Poincaré algebra contrast to usual case. It is the improved generators, constructed from the symmetric energy–momentum tensor, which are (manifestly) gauge invariant and obey the quantum as well as classical Poincaré algebra. The physical states are constructed and it is found in the Schrödinger picture that unusual gauge invariant longitudinal mode of the gauge field is crucial for constructing the physical wave-functional which is genuine to (pure) Chern–Simons theory. In matching to the gauge fixed formulation, we consider three typical gauges, Coulomb, axial and Weyl gauges as explicit examples. Furthermore, recent several confusions about the effect of Dirac's dressing function and the gauge fixings are clarified. The analysis according to old gauge independent formulation á la Dirac is summarized in an appendix.

scholarly journals COMPOSITE OPERATORS AND TOPOLOGICAL CONTRIBUTIONS IN GAUGE THEORY

2001 ◽  
Vol 16 (11) ◽  
pp. 679-684
Author(s):  
JUNGJAI LEE ◽  
YEONG DEOK HAN
Keyword(s):  
Gauge Theory ◽  
Partition Function ◽  
Gauge Field ◽  
Invariant Operator ◽  
Space Time ◽  
Kinetic Term ◽  
Gauge Invariant ◽  
Expectation Value ◽  
Composite Form ◽  
Chern Simons

In D-dimensional gauge theory with a kinetic term based on p-form tensor gauge field, we introduce a gauge-invariant operator associated with the composite form from an electric (p - 1)-brane and a magnetic (q - 1)-brane in D = p + q + 1 space–time dimensions. By evaluating the partition function of this operator, we show that the expectation value of this operator gives rise to the topological contributions identical to those in gauge theory with a topological Chern–Simons BF term.

The Standard Theory

2017 ◽  
Author(s):  
John Iliopoulos
Keyword(s):  
Gauge Theory ◽  
Invariant Theory ◽  
Standard Theory ◽  
Strong Interactions ◽  
Gauge Invariant ◽  
Electromagnetic Interactions ◽  
Protons And Neutrons ◽  
Free Particles ◽  
Theoretical Predictions ◽  
Theory And Experiment

All ingredients of the previous chapters are combined in order to build a gauge invariant theory of the interactions among the elementary particles. We start with a unified model of the weak and the electromagnetic interactions. The gauge symmetry is spontaneously broken through the BEH mechanism and we identify the resulting BEH boson. Then we describe the theory known as quantum chromodynamics (QCD), a gauge theory of the strong interactions. We present the property of confinement which explains why the quarks and the gluons cannot be extracted out of the protons and neutrons to form free particles. The last section contains a comparison of the theoretical predictions based on this theory with the experimental results. The agreement between theory and experiment is spectacular.

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).

TREE DIAGRAMS IN WITTEN’S SUPERSTRING FIELD THEORY

1989 ◽  
Vol 04 (21) ◽  
pp. 2063-2071
Author(s):  
GEORGE SIOPSIS
Keyword(s):  
Field Theory ◽  
Scattering Amplitudes ◽  
Invariant Theory ◽  
Higher Order ◽  
Contact Term ◽  
Tree Level ◽  
Gauge Invariant

It is shown that the contact term discovered by Wendt is sufficient to ensure finiteness of all tree-level scattering amplitudes in Witten’s field theory of open superstrings. Its inclusion in the action also leads to a gauge-invariant theory. Thus, no additional higher-order counterterms in the action are needed.

scholarly journals REMARKS ON A CHERN–SIMONS-LIKE COUPLING

2011 ◽  
Vol 26 (37) ◽  
pp. 2813-2821
Author(s):  
PATRICIO GAETE
Keyword(s):  
Gauge Theory ◽  
Vector Field ◽  
Static Potential ◽  
Gauge Invariant ◽  
Massive Vector ◽  
Hidden Sector ◽  
Dependent Variables ◽  
Qualitative Nature ◽  
Path Dependent ◽  
Chern Simons

We consider the static quantum potential for a gauge theory which includes a light massive vector field interacting with the familiar U (1) QED photon via a Chern–Simons-like coupling, by using the gauge-invariant, but path-dependent, variables formalism. An exactly screening phase is then obtained, which displays a marked departure of a qualitative nature from massive axionic electrodynamics. The above static potential profile is similar to that encountered in axionic electrodynamics consisting of a massless axion-like field, as well as to that encountered in the coupling between the familiar U (1) QED photon and a second massive gauge field living in the so-called U (1)h hidden-sector, inside a superconducting box.

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