scholarly journals New gauge-invariant formulation of the Chern-Simons gauge theory

1998 ◽  
Vol 58 (10) ◽  
Author(s):  
Mu-In Park ◽  
Young-Jai Park
Keyword(s):  
Gauge Theory ◽  
Gauge Invariant ◽  
Invariant Formulation ◽  
Chern Simons

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 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).

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.

scholarly journals STATIC POTENTIAL AND A NEW GENERALIZED CONNECTION IN THREE DIMENSIONS

2004 ◽  
Vol 19 (22) ◽  
pp. 1695-1700 ◽  
Author(s):  
PATRICIO GAETE
Keyword(s):  
Gauge Theory ◽  
Three Dimensions ◽  
Simons Theory ◽  
Static Potential ◽  
Gauge Invariant ◽  
Confining Potential ◽  
Static Interaction ◽  
Pure Gauge Theory ◽  
Chern Simons ◽  
Chern Simons Theory

For a recently proposed pure gauge theory in three dimensions, without a Chern–Simons term, we calculate the static interaction potential within the structure of the gauge-invariant variables formalism. As a consequence, a confining potential is obtained. This result displays a marked qualitative departure from the usual Maxwell–Chern–Simons theory.

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.

PARITY ANOMALY IN CHERN-SIMONS THEORY

1991 ◽  
Vol 06 (08) ◽  
pp. 727-738 ◽  
Author(s):  
G.P. KORCHEMSKY
Keyword(s):  
Gauge Theory ◽  
Effective Action ◽  
Simons Theory ◽  
Coupling Constant ◽  
Classical Action ◽  
Gauge Invariant ◽  
Chern Simons ◽  
Invariant Regularization ◽  
Chern Simons Theory

Ultraviolet (uv) divergences are canceled in the effective action of the D=3 Chern-Simons (CS) gauge theory but regularization is needed. It is impossible to introduce gauge invariant regularization and conserve the parity of the classical action. As a result, in the limit when regularization is removed the finite contribution to the effective action induced by parity-violating regulators remains which being added to the classical action leads to additive integer-valued renormalization of the coupling constant.

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.

scholarly journals BFFT FORMALISM APPLIED TO THE MINIMAL CHIRAL SCHWINGER MODEL

2004 ◽  
Vol 19 (39) ◽  
pp. 2957-2969 ◽  
Author(s):  
C. P. NATIVIDADE ◽  
H. BOSCHI-FILHO ◽  
L. V. BELVEDERE
Keyword(s):  
Gauge Theory ◽  
Gauge Transformation ◽  
Point Of View ◽  
Chiral Model ◽  
Gauge Invariant ◽  
Schwinger Model ◽  
Invariant Action ◽  
Invariant Formulation

We consider the minimal chiral Schwinger model, by embedding the gauge non-invariant formulation into a gauge theory following the Batalin–Fradkin–Fradkina–Tyutin point of view. Within the BFFT procedure, the second-class constraints are converted into strongly involutive first-class ones, leading to an extended gauge-invariant formulation. We also show that, like the standard chiral model, in the minimal chiral model the Wess–Zumino action can be obtained by performing a q-number gauge transformation into the effective gauge non-invariant action.

scholarly journals Gauge-invariant operators for singular knots in Chern-Simons gauge theory

1998 ◽  
Vol 527 (3) ◽  
pp. 499-530 ◽  
Author(s):  
J.M.F. Labastida ◽  
Esther Pérez
Keyword(s):  
Gauge Theory ◽  
Gauge Invariant ◽  
Chern Simons ◽  
Singular Knots
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