59 research outputs found
Gauge theory of second class constraints without extra variables
We show that any theory with second class constraints may be cast into a
gauge theory if one makes use of solutions of the constraints expressed in
terms of the coordinates of the original phase space. We perform a Lagrangian
path integral quantization of the resulting gauge theory and show that the
natural measure follows from a superfield formulation.Comment: 12 pages, Latexfil
Path Integral Formulation with Deformed Antibracket
We propose how to incorporate the Leites-Shchepochkina-Konstein-Tyutin
deformed antibracket into the quantum field-antifield formalism.Comment: 13 pages, LaTeX. v2: Added references. To appear in Phys. Lett.
Reparametrization-Invariant Effective Action in Field-Antifield Formalism
We introduce classical and quantum antifields in the
reparametrization-invariant effective action, and derive a deformed classical
master equation.Comment: 14 pages, LaTeX. v2: Further observations, Added one appendix. v3:
Version submitted to IJMPA. v4: Version published in IJMP
Odd Scalar Curvature in Field-Antifield Formalism
We consider the possibility of adding a Grassmann-odd function \nu to the odd
Laplacian. Requiring the total \Delta operator to be nilpotent leads to a
differential condition for \nu, which is integrable. It turns out that the odd
function \nu is not an independent geometric object, but is instead completely
specified by the antisymplectic structure E and the density \rho. The main
impact of introducing the \nu term is that it makes compatibility relations
between E and \rho obsolete. We give a geometric interpretation of \nu as
(minus 1/8 times) the odd scalar curvature of an arbitrary antisymplectic,
torsion-free and \rho-compatible connection. We show that the total \Delta
operator is a \rho-dressed version of Khudaverdian's \Delta_E operator, which
takes semidensities to semidensities. We also show that the construction
generalizes to the situation where \rho is replaced by a non-flat line bundle
connection F. This generalization is implemented by breaking the nilpotency of
\Delta with an arbitrary Grassmann-even second-order operator source.Comment: 23 pages, LaTeX. v2: More material added. v3: Reference added. v4:
Grant number added. v5: Minor changes. v6: Stylistic change
Projection operator approach to general constrained systems
We propose a new BRST-like quantization procedure which is applicable to
dynamical systems containing both first and second class constraints. It
requires no explicit separation into first and second class constraints and
therefore no conversion of second class constraints is needed. The basic
ingredient is instead an invariant projection operator which projects out the
maximal subset of constraints in involution. The hope is that the method will
enable a covariant quantization of models for which there is no covariant
separation into first and second class constraints. An example of this type is
given.Comment: 12 pages, Latexfile,minor misprints correcte
Closed description of arbitrariness in resolving quantum master equation
In the most general case of the Delta exact operator valued generators
constructed of an arbitrary Fermion operator, we present a closed solution for
the transformed master action in terms of the original master action in the
closed form of the corresponding path integral. We show in detail how that path
integral reduces to the known result in the case of being the Delta exact
generators constructed of an arbitrary Fermion function.Comment: 13 pages, v2: Section 2 extended, misprint corrected, references
added, formula on page 7 corrected, new formula (4.30) and a phrase on it
inserted, v3: misprints in formulas (2.12), (4.23), (4.36)-(4.39) corrected,
v4: formulae (A.8), (A.11), (A.12) added, v5:published versio
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