119 research outputs found
The Orbifolds of Permutation-Type as Physical String Systems at Multiples of III. The Spectra of Strings
In the second paper of this series, I obtained the twisted BRST systems and
extended physical-state conditions of all twisted open and closed strings. In this paper, I supplement the extended physical-state conditions
with the explicit form of the extended (twisted) Virasoro generators of all
strings, which allows us to discuss the physical spectra of
these systems. Surprisingly, all the spectra admit an equivalent
description in terms of generically-unconventional Virasoro generators at
. This description strongly supports our prior conjecture that the
strings are free of negative-norm states, and moreover shows that
the spectra of some of the simpler cases are equivalent to those of ordinary
untwisted open and closed strings.Comment: 23 page
Scale-dependent stochastic quantization
Based on the wavelet-defined multiscale random noise proposed in [Doklady
Physics 2003, v.48, 478], a multiscale version of the stochastic quantization
procedure is considered. A new type of the commutation relations emerging from
the multiscale decomposition of the operator-valued fields is derivedComment: Talk at FFP6 International Conference, Udine, Italy, Sep 2004. LaTeX,
7 pages, 5 eps figure
On the Target-Space Geometry of Open-String Orientation-Orbifold Sectors
Including world-sheet orientation-reversing automorphisms in the orbifold
program, we recently reported the twisted operator algebra and twisted KZ
equations in each open-string sector of the general WZW orientation orbifold.
In this paper we work out the corresponding classical description of these
sectors, including the {\it WZW orientation-orbifold action} -- which is
naturally defined on the solid half cylinder -- and its associated WZW
orientation-orbifold branes. As a generalization, we also obtain the {\it
sigma-model orientation-orbifold action}, which describes a much larger class
of open-string orientation-orbifold sectors. As special cases, this class
includes twisted open-string {\it free boson} examples, the open-string WZW
sectors above and the open-string sectors of the {\it general coset orientation
orbifold}. Finally, we derive the {\it orientation- orbifold Einstein
equations}, in terms of twisted Einstein tensors -- which hold when the twisted
open-string sigma-model sectors are 1-loop conformal.Comment: 77 pages, typos correcte
Non-Abelian Wilson Surfaces
A definition of non-abelian genus zero open Wilson surfaces is proposed. The
ambiguity in surface-ordering is compensated by the gauge transformations.Comment: JHEP Latex, 10 pages, 6 figures; v2, refs and comments added in sec.
About the realization of chiral symmetry in QCD2
Two dimensional massless Quantum Chromodynamics presents many features which
resemble those of the true theory. In particular the spectrum consists of
mesons and baryons arranged in flavor multiplets without parity doubling. We
analyze the implications of chiral symmetry, which is not spontaneously broken
in two dimensions, in the spectrum and in the quark condensate. We study how
parity doubling, an awaited consequence of Coleman's theorem, is avoided due to
the dimensionality of space-time and confinement. We prove that a chiral phase
transition is not possible in the theory.Comment: 9 pages, latex, ftuv/92-
Irrational Conformal Field Theory
This is a review of irrational conformal field theory, which includes
rational conformal field theory as a small subspace. Central topics of the
review include the Virasoro master equation, its solutions and the dynamics of
irrational conformal field theory. Discussion of the dynamics includes the
generalized Knizhnik-Zamolodchikov equations on the sphere, the corresponding
heat-like systems on the torus and the generic world- sheet action of
irrational conformal field theory.Comment: 195 pages, Latex, 12 figures, to appear in Physics Reports. Typos
corrected in Sections 13 and 14, and a footnote added in Section 1
Covariant Quantization of Superstrings Without Pure Spinor Constraints
We construct a covariant quantum superstring, extending Berkovits' approach
by introducing new ghosts to relax the pure spinor constraints. The central
charge of the underlying Kac-Moody algebra, which would lead to an anomaly in
the BRST charge, is treated as a new generator with a new b-c system. We
construct a nilpotent BRST current, an anomalous ghost current and an
anomaly-free energy-momentum tensor. For open superstrings, we find the correct
massless spectrum. In addition, we construct a Lorentz invariant B-field to be
used for the computation of the integrated vertex operators and amplitudes.Comment: 30 page
Canonical Transformations in a Higher-Derivative Field Theory
It has been suggested that the chiral symmetry can be implemented only in
classical Lagrangians containing higher covariant derivatives of odd order.
Contrary to this belief, it is shown that one can construct an exactly soluble
two-dimensional higher-derivative fermionic quantum field theory containing
only derivatives of even order whose classical Lagrangian exhibits chiral-gauge
invariance. The original field solution is expressed in terms of usual Dirac
spinors through a canonical transformation, whose generating function allows
the determination of the new Hamiltonian. It is emphasized that the original
and transformed Hamiltonians are different because the mapping from the old to
the new canonical variables depends explicitly on time. The violation of
cluster decomposition is discussed and the general Wightman functions
satisfying the positive-definiteness condition are obtained.Comment: 12 pages, LaTe
Gauge Theories in and Fine-Lattice Deconstruction
The logarithmic energy dependence of gauge couplings in AdS_5 emerges almost
automatically when the theory is deconstructed on a coarse lattice. Here we
study the theory away from the coarse-lattice limit. While we cannot
analytically calculate individual KK masses for a fine lattice, we can
calculate the product of all non-zero masses. This allows us to write down the
gauge coupling at low energies for any lattice-spacing and curvature. As
expected, the leading log behaviour is corrected by power-law contributions,
suppressed by the curvature. We then turn to intermediate energies, and discuss
the gauge coupling and the gauge boson profile in perturbation theory around
the coarse-lattice limit.Comment: 17 pages, 1 figure, typos in listing version of abstract correcte
Gauged Lifshitz scalar field theories in two dimensions
We present two-dimensional gauged Lifshitz scalar field theories by
considering the duality relation between the source current and the Noether
current. Requiring the duality partially, we obtain a gauged model which
recovers the bosonized Schwinger model for the IR limit. For the exact duality,
however, the source current is not conserved, which means that the resulting
theory is anomalous, so that the number of degrees of freedom is increased. The
second model is consistently formulated by adding the Wess-Zumino type action
to maintain the gauge invariance.Comment: 11 page
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