721 research outputs found
Possible Detection of Causality Violation in a Non-local Scalar Model
We consider the possibility that there may be causality violation detectable
at higher energies. We take a scalar nonlocal theory containing a mass scale
as a model example and make a preliminary study of how the causality
violation can be observed. We show how to formulate an observable whose
detection would signal causality violation. We study the range of energies
(relative to ) and couplings to which the observable can be used.Comment: Latex, 30 page
Relating the generating functionals in field/antifield formulation through finite field dependent BRST transformation
We study the field/antifield formulation of pure Yang Mills theory in the
framework of finite field dependent BRST transformation. We show that the
generating functionals corresponding to different solutions of quantum master
equation are connected through the finite field dependent BRST transformations.
We establish this result with the help of several explicit examples.Comment: Revtex4, 18 pages, No figs, Accepted in Eur. Phys. J
A superspace formulation of Abelian antisymmetric tensor gauge theory
We apply a superspace formulation to the four-dimensional gauge theory of a
massless Abelian antisymmetric tensor field of rank 2. The theory is formulated
in a six-dimensional superspace using rank-2 tensor, vector and scalar
superfields and their associated supersources. It is shown that BRS
transformation rules of fields are realized as Euler-Lagrange equations without
assuming the so-called horizontality condition and that a generating functional
constracted in the superspace reduces to that for the ordinary gauge
theory of Abelian rank-2 antisymmetric tensor field. The WT identity for this
theory is derived by making use of the superspace formulation and is expressed
in a neat and compact form .Comment: Latex, 19pages, No fig
Superspace Formulation of Yang- Mills Theory II: Inclusion of Gauge Invariant Operators and Scalars
In a superspace formulation of Yang-Mills theory previously proposed, we show
how gauge-invariant operators and scalars can be incorporated keeping intact
the (broken) symmetry of the superspace action. We show in both
cases, that the WT identities can be cast in a simple form
.Comment: Revtex, 19 pages, No figure
Wilson Loop and the Treatment of Axial Gauge Poles
We consider the question of gauge invariance of the Wilson loop in the light
of a new treatment of axial gauge propagator proposed recently based on a
finite field-dependent BRS (FFBRS) transformation. We remark that as under the
FFBRS transformation the vacuum expectation value of a gauge invariant
observable remains unchanged, our prescription automatically satisfies the
Wilson loop criterion. Further, we give an argument for {\it direct}
verification of the invariance of Wilson loop to O(g^4) using the earlier work
by Cheng and Tsai. We also note that our prescription preserves the thermal
Wilson loop to O(g^2).Comment: 8 pages, LaTex; some typos related to equation (18) correcte
Level density and level-spacing distributions of random, self-adjoint, non-Hermitian matrices
We investigate the level-density and level-spacing distribution
of random matrices where is a (diagonal)
inner-product and is a random, real symmetric or complex Hermitian matrix
with independent entries drawn from a probability distribution with zero
mean and finite higher moments. Although not Hermitian, the matrix is
self-adjoint with respect to and thus has purely real eigenvalues. We find
that the level density is independent of the underlying
distribution , is solely characterized by , and therefore generalizes
Wigner's semicircle distribution . We find that the level-spacing
distributions are independent of , are dependent upon the
inner-product and whether is real or complex, and therefore generalize
the Wigner's surmise for level spacing. Our results suggest -dependent
generalizations of the well-known Gaussian Orthogonal Ensemble (GOE) and
Gaussian Unitary Ensemble (GUE) classes.Comment: 5 pages, 5 figures, revised tex
Anomalous dimension of the gluon operator in pure Yang-Mills theory
We present new one loop calculations that confirm the theorems of Joglekar
and Lee on the renormalization of composite operators. We do this by
considering physical matrix elements with the operators inserted at non-zero
momentum. The resulting IR singularities are regulated dimensionally. We show
that the physical matrix element of the BRST exact gauge variant operator which
appears in the energy- momentum tensor is zero. We then show that the physical
matrix elements of the classical energy-momentum tensor and the gauge invariant
twist two gluon operator are independent of the gauge fixing parameter. A
Sudakov factor appears in the latter cases. The universality of this factor and
the UV finiteness of the energy-momentum tensor provide another method of
finding the anomalous dimension of the gluon operator. We conjecture that this
method applies to higher loops and takes full advantage of the triangularity of
the mixing matrix.Comment: submitted to Phys. Rev. D, 18 pages LaTEX uses psfig and revtex
macros, figures appended as uuencoded Postscript file (complete Postsript
version including figures available via anonymous ftp from
ftp://max.physics.sunysb.edu/preprints/harris/paper.ps.Z), ITP-SB-94-3
BV formulation of higher form gauge theories in a superspace
We discuss the extended BRST and anti-BRST symmetry (including shift
symmetry) in the Batalin-Vilkovisky (BV) formulation for two and three form
gauge theories. Further we develop the superspace formulation for the BV
actions for these theories. We show that the extended BRST invariant BV action
for these theories can be written manifestly covariant manner in a superspace
with one Grassmann coordinate. On the hand a superspace with two Grassmann
coordinates are required for a manifestly covariant formulation of the extended
BRST and extended anti-BRST invariant BV actions for higher form gauge
theories.Comment: 30 pages, No figure, version to appear in EPJ
Competing PT potentials and re-entrant PT symmetric phase for a particle in a box
We investigate the effects of competition between two complex,
-symmetric potentials on the -symmetric phase of a
"particle in a box". These potentials, given by and
, represent long-range and localized
gain/loss regions respectively. We obtain the -symmetric phase in
the plane, and find that for locations near the edge of the
box, the -symmetric phase is strengthened by additional losses to
the loss region. We also predict that a broken -symmetry will be
restored by increasing the strength of the localized potential. By
comparing the results for this problem and its lattice counterpart, we show
that a robust -symmetric phase in the continuum is consistent
with the fragile phase on the lattice. Our results demonstrate that systems
with multiple, -symmetric potentials show unique, unexpected
properties.Comment: 7 pages, 3 figure
PT-symmetry breaking and maximal chirality in a nonuniform PT-symmetric ring
We study the properties of an N-site tight-binding ring with parity and
time-reversal (PT) symmetric, Hermitian, site-dependent tunneling and a pair of
non-Hermitian, PT-symmetric, loss and gain impurities . The
properties of such lattices with open boundary conditions have been intensely
explored over the past two years. We numerically investigate the PT-symmetric
phase in a ring with a position-dependent tunneling function
that, in an open lattice, leads to a
strengthened PT-symmetric phase, and study the evolution of the PT-symmetric
phase from the open chain to a ring. We show that, generally, periodic boundary
conditions weaken the PT-symmetric phase, although for experimentally relevant
lattice sizes , it remains easily accessible. We show that the
chirality, quantified by the (magnitude of the) average transverse momentum of
a wave packet, shows a maximum at the PT-symmetric threshold. Our results show
that although the wavepacket intensity increases monotonically across the
PT-breaking threshold, the average momentum decays monotonically on both sides
of the threshold.Comment: 11 pages, 5 figures, preprin
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