704 research outputs found
Some Observations on Non-covariant Gauges and the epsilon-term
We consider the Lagrangian path-integrals in Minkowski space for gauges with
a residual gauge-invariance. From rather elementary considerations, we
demonstrate the necessity of inclusion of an epsilon-term (even) in the formal
treatments, without which one may reach incorrect conclusions. We show,
further, that the epsilon-term can contribute to the BRST WT-identities in a
nontrivial way (even as epsilon-->0). We also show that the (expectation value
of the) correct epsilon-term satisfies an algebraic condition. We show by
considering (a commonly used) example of a simple local quadratic epsilon
-term, that they lead to additional constraints on Green's function that are
not normally taken into account in the BRST formalism that ignores the
epsilon-term, and that they are characteristic of the way the singularities in
propagators are handled. We argue that for a subclass of these gauges, the
Minkowski path-integral could not be obtained by a Wick rotation from a
Euclidean path-integral.Comment: 12 pages, LaTeX2
Absence of Nonlocal Counter-terms in the Gauge Boson Propagator in Axial -type Gauges
We study the two-point function for the gauge boson in the axial-type gauges.
We use the exact treatment of the axial gauges recently proposed that is
intrinsically compatible with the Lorentz type gauges in the path-integral
formulation and has been arrived at from this connection and which is a
``one-vector'' treatment. We find that in this treatment, we can evaluate the
two-point functions without imposing any additional interpretation on the axial
gauge 1/(n.q)^p-type poles. The calculations are as easy as the other
treatments based on other known prescriptions. Unlike the
``uniform-prescription'' /L-M prescription, we note, here, the absence of any
non-local divergences in the 2-point proper vertex. We correlate our
calculation with that for the Cauchy Principal Value prescription and find from
this comparison that the 2-point proper vertex differs from the CPV calculation
only by finite terms. For simplicity of treatment, the divergences have been
calculated here with n^2>0 and these have a smooth light cone limit.Comment: 17 pages; 3 figures drawn using feyn.st
Relating Green's Functions in Axial and Lorentz Gauges using Finite Field-Dependent BRS Transformations
We use finite field-dependent BRS transformations (FFBRS) to connect the
Green functions in a set of two otherwise unrelated gauge choices. We choose
the Lorentz and the axial gauges as examples. We show how the Green functions
in axial gauge can be written as a series in terms of those in Lorentz gauges.
Our method also applies to operator Green's functions. We show that this
process involves another set of related FFBRS transfomations that is derivable
from infinitesimal FBRS. We suggest possible applications.Comment: 20 pages, LaTex, Section 4 expanded, typos corrected; last 2
references modified; (this) revised version to appear in J. Math. Phy
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
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
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
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
Magnetic reconnection in plasma under inertial confinement fusion conditions driven by heat flux effects in Ohm's law
In the interaction of high-power laser beams with solid density plasma there
are a number of mechanisms that generate strong magnetic fields. Such fields
subsequently inhibit or redirect electron flows, but can themselves be advected
by heat fluxes, resulting in complex interplay between thermal transport and
magnetic fields.We show that for heating by multiple laser spots reconnection
of magnetic field lines can occur, mediated by these heat fluxes, using a fully
implicit 2D Vlasov-Fokker-Planck code. Under such conditions, the reconnection
rate is dictated by heat flows rather than Alfv\`enic flows. We find that this
mechanism is only relevant in a high plasma. However, the Hall
parameter can be large so that thermal transport is
strongly modified by these magnetic fields, which can impact longer time scale
temperature homogeneity and ion dynamics in the system
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
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