BRST quantization of matrix models with constraints and two-dimensional Yang-Mills theory on the cylinder [PDF]
BRST quantization of the one-dimensional constrained matrix model which describes two-dimensional Yang-Mills theory on the cylinder is performed. Classical and quantum BRST generators and BRST-invariant hamiltonians are constructed. Evolution operator is
B. S. DeWitt+4 more
core +4 more sources
BRST quantization of relativistic particles on inner product spaces [PDF]
Recent results of BRST quantization on inner product spaces are reviewed. It is shown how relativistic particle models may be quantized with finite norms and that the relation between the operator method and the conventional path integral treatments is nontrivial.
Robert Marnelius
arxiv +3 more sources
BFV quantization and BRST symmetries of the gauge invariant fourth-order Pais-Uhlenbeck oscillator
We perform the BFV-BRST quantization of the fourth-order Pais-Uhlenbeck oscillator (PUO) for the first time. We show that although the PUO is not naturally constrained in the sense of Dirac-Bergmann, it is possible to profit from the introduction of ...
Bhabani Prasad Mandal+2 more
doaj +4 more sources
Chiral Schwinger model with Faddeevian anomaly and its BRST quantization [PDF]
We consider chiral Schwinger model with Faddeevian anomaly, and carry out the quantization of both the gauge-invariant and non-invariant version of this model has been.
Sanjib Ghosal, Anisur Rahaman
doaj +2 more sources
Reparameterization Invariant Model of a Supersymmetric System: BRST and Supervariable Approaches
We carry out the Becchi‐Rouet‐Stora‐Tyutin (BRST) quantization of the one (0 + 1)‐dimensional (1D) model of a free massive spinning relativistic particle (i.e., a supersymmetric system) by exploiting its classical infinitesimal and continuous reparameterization symmetry transformations.
A. Tripathi+4 more
wiley +2 more sources
BRST-ANTIFIELD QUANTIZATION: A SHORT REVIEW [PDF]
Most of the known models describing the fundamental interactions have a gauge freedom. In the standard path integral, it is necessary to "fix the gauge" in order to avoid integrating over unphysical degrees of freedom. Gauge independence might then become a tricky issue, especially when the structure of the gauge symmetries is intricate.
Andrea Fuster+3 more
+8 more sources
Lattice Gauge Fixing, Gribov Copies and BRST Symmetry [PDF]
We show that a modification of the BRST lattice quantization allows to circumvent an old paradox, formulated by Neuberger, related to lattice Gribov copies and non-perturbative BRST invariance.
Faddeev+5 more
core +4 more sources
A note on BRST quantization of SU(2) Yang-Mills mechanics [PDF]
The quantization of SU(2) Yang-Mills theory reduced to 0+1 space-time dimensions is performed in the BRST framework. We show that in the unitary gauge $A_0 = 0$ the BRST procedure has difficulties which can be solved by introduction of additional singlet
A. Fuster, Henneaux M., J. W. van Holten
core +4 more sources
Comments on the Covariant Sp(2)-Symmetric Lagrangian BRST Formalism [PDF]
We give a simple geometrical picture of the basic structures of the covariant $Sp(2)$ symmetric quantization formalism -- triplectic quantization -- recently suggested by Batalin, Marnelius and Semikhatov. In particular, we show that the appearance of an
A. Nersessian+25 more
core +4 more sources
BRST-CO-BRST QUANTIZATION OF REPARAMETRIZATION-INVARIANT THEORIES [PDF]
We study some reparametrization-invariant theories in the context of the BRST-co-BRST quantization method. The method imposes restrictions on the possible gauge-fixing conditions and leads to well-defined inner product states through a gauge regularization procedure. Two explicit examples are treated in detail.
openaire +4 more sources