30 research outputs found
Collective Variables of Fermions and Bosonization
We first present a general method for extracting collective variables out of
non-relativistic fermions by extending the gauge theory of collective
coordinates to fermionic systems. We then apply the method to a system of
non-interacting flavored fermions confined in a one-dimensional
flavor-independent potential. In the limit of a large number of particles we
obtain a Lagrangian with the Wess-Zumino-Witten term, which is the well-known
Lagrangian describing the non-Abelian bosonization of chiral fermions on a
circle. The result is universal and does not depend on the details of the
confining potential.Comment: 12 pages, plain tex, added new preprint numbe
A doubled discretisation of abelian Chern-Simons theory
A new discretisation of a doubled, i.e. BF, version of the pure abelian
Chern-Simons theory is presented. It reproduces the continuum expressions for
the topological quantities of interest in the theory, namely the partition
function and correlation function of Wilson loops. Similarities with free
spinor field theory are discussed which are of interest in connection with
lattice fermion doubling.Comment: 5 pages, revtex, 2 ps figures (epsf required). To appear in
Phys.Rev.Let
W_\infty and w_\infty Gauge Theories and Contraction
We present a general method of constructing Winf and winf gauge theories in
terms of d+2 dimensional local fields. In this formulation the \Winf gauge
theory Lagrangians involve non-local interactions, but the winf theories are
entirely local. We discuss the so-called classical contraction procedure by
which we derive the Lagrangian of winf gauge theory from that of the
corresponding Winf gauge theory. In order to discuss the relationship between
quantum Winf and quantum winf gauge theory we solve d=1 gauge theory models of
a Higgs field exactly by using the collective field method. Based on this we
conclude that the Winf gauge theory can be regarded as the large N limit of the
corresponding SU(N) gauge theory once an appropriate coupling constant
renormalization is made, while the winf gauge theory cannot be.Comment: 21 pages, plain Te
Fermionic String from Abelian Higgs Model with monopoles and -term
The four dimensional Abelian Higgs model with monopoles and -term is
considered in the limit of the large mass of the higgs boson. We show that for
the theory is equivalent, at large distances, to summation over
all possible world-sheets of fermionic strings with Dirichlet type boundary
conditions on string coordinates.Comment: 8 pages, LaTeX file, no figures. Submitted to JETP Let
Superstring action in AdS_5 x S^5: kappa symmetry light cone gauge
As part of program to quantize superstrings in AdS_5 x S^5 background in
light cone approach we find the explicit form of the corresponding
Green-Schwarz action in fermionic light-cone kappa-symmetry gauge. The
resulting action is quadratic and quartic in fermions. In the flat space limit
it reduces to the standard light-cone Green-Schwarz action, and also has the
correct superparticle limit. We discuss fixing the bosonic light-cone gauge and
a reformulation of the action in terms of 2-d Dirac spinors.Comment: 32 pages, latex. v4: misprints corrected in Appendix A, to appear in
Phys Rev
Lorentz harmonics and superfield action. D=10, N=1 superstring
We propose a new version of the superfield action for a closed D=10, N=1
superstring where the Lorentz harmonics are used as auxiliary superfields. The
incorporation of Lorentz harmonics into the superfield action makes possible to
obtain superfield constraints of the induced worldsheet supergravity as
equations of motion. Moreover, it becomes evident that a so-called 'Wess-Zumino
part' of the superfield action is basically a Lagrangian form of the
generalized action principle. We propose to use the second Noether theorem to
handle the essential terms in the transformation lows of hidden gauge
symmetries, which remove dynamical degrees of freedom from the Lagrange
multiplier superfield.Comment: 23 pages, latex, no figures. V.2, minor corrections, a reference
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