2,687 research outputs found
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
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
Quantum Fluctuations of Particles and Fields in Smooth Path Integrals
An approach to evaluation of the smooth Feynman path integrals is developed
for the study of quantum fluctuations of particles and fields in Euclidean
time-space. The paths are described by sum of Gauss functions and are weighted
with exp(-S) by appropriate methods. The weighted smooth paths reproduce
properties of the ground state of the harmonic oscillator in one dimension with
high accuracy. Quantum fluctuations of U(1) and SU(2) gauge fields in four
dimensions are also evaluated in our approach.Comment: 4 pages, 1 figure, talk given at the 12th Asia Pacific Physics
Conference of AAPPS (APPC12), Makuhari, Japan, 14-19 July 201
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.
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