Gauge theory by canonical transformations

Canonical transformations theory for presymplectic systems

Canonical Transformations and Gauge Fixing in the Triplectic Quantization

We show that the generators of canonical transformations in the triplectic manifold must satisfy constraints that have no parallel in the usual field antifield quantization. A general form for these transformations is presented. Then we consider gauge fixing by means of canonical transformations in this Sp(2) covariant scheme, finding a relation between generators and gauge fixing functions. Th...

Mass Superselection , Canonical Gauge Transformations , and Asymptotically Flat Variational Principles

The phase space reduction of Schwarzschild black holes by Thiemann and Kastrup and by Kuchař is reexamined from a different perspective on gauge freedom. This perspective introduces additional gauge transformations which correspond to asymptotically nontrivial diffeomorphisms. Various subtleties concerning variational principles for asymptotically flat systems are addressed which allow us to av...

Singular gauge transformations in string field theory

We show that the existence of a tachyon vacuum puts tight restrictions on the form of solutions to the equations of motion of string field theory. In particular, we demonstrate that every solution can be written as a – formal – gauge transformation of the tachyon vacuum. In order for a solution to be non-trivial, this gauge transformation must be singular and we argue that this will happen when...

On Normal Ordering and Canonical Transformations in Thermal Field Theory

We look at a real scalar field in thermal equilibrium in the context of the new normal ordering and field split defined by Evans and Steer [1]. We show that the field split defines a natural canonical transformation, but that this transformation differs from others known in thermal field theory.