1,725 research outputs found
Fermionic Coset Realization of Primaries in Critical Statistical Models
We obtain a fermionic coset realization of the primaries of minimal unitary
models and show how their four-point functions may be calculated by the use of
a reduction formula. We illustrate the construction for the Ising model, where
we obtain an explicit realization of the energy operator, Onsager fermions, as
well as of the order and disorder operators realizing the dual algebra, in
terms of constrained Dirac fermions. The four-point correlators of these
operators are shown to agree with those obtained by other methods.Comment: 26 pages, Latex fil
On the Hamilton-Jacobi equation for second class constrained systems
We discuss a general procedure for arriving at the Hamilton-Jacobi equation
of second-class constrained systems, and illustrate it in terms of a number of
examples by explicitely obtaining the respective Hamilton principal function,
and verifying that it leads to the correct solution to the Euler-Lagrange
equations.Comment: 17 pages, to appear in Ann. Phy
BRST Analysis of QCD_2 as a Perturbed WZW Theory
Integrability of Quantum Chromodynamics in 1+1 dimensions has recently been
suggested by formulating it as a perturbed conformal Wess-Zumino-Witten Theory.
The present paper further elucidates this formulation, by presenting a detailed
BRST analysis.Comment: 14 pages, LaTe
Quantization of spontaneously broken gauge theory based on the BFT-BFV Formalism
We quantize the spontaneously broken abelian U(1) Higgs model by using the
improved BFT and BFV formalisms. We have constructed the BFT physical fields,
and obtain the first class observables including the Hamiltonian in terms of
these fields. We have also explicitly shown that there are exact form
invariances between the second class and first class quantities. Then,
according to the BFV formalism, we have derived the corresponding Lagrangian
having U(1) gauge symmetry. We also discuss at the classical level how one
easily gets the first class Lagrangian from the symmetry-broken second class
Lagrangian.Comment: 16 pages, latex, final version published in Mod. Phys. Lett.
Hilbert Space of Isomorphic Representations of Bosonized Chiral
We analyse the Hilbert space structure of the isomorphic gauge non-invariant
and gauge invariant bosonized formulations of chiral for the particular
case of the Jackiw-Rajaraman parameter . The BRST subsidiary conditions
are found not to provide a sufficient criterium for defining physical states in
the Hilbert space and additional superselection rules must to be taken into
account. We examine the effect of the use of a redundant field algebra in
deriving basic properties of the model. We also discuss the constraint
structure of the gauge invariant formulation and show that the only primary
constraints are of first class.Comment: LaTeX, 19 page
Recursive Construction of Generator for Lagrangian Gauge Symmetries
We obtain, for a subclass of structure functions characterizing a first class
Hamiltonian system, recursive relations from which the general form of the
local symmetry transformations can be constructed in terms of the independent
gauge parameters. We apply this to a non-trivial Hamiltonian system involving
two primary constraints, as well as two secondary constraints of the Nambu-Goto
type.Comment: 10 pages, Late
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