419 research outputs found
BRST Cohomology of N=2 Super-Yang-Mills Theory in 4D
The BRST cohomology of the N=2 supersymmetric Yang-Mills theory in four
dimensions is discussed by making use of the twisted version of the N=2
algebra. By the introduction of a set of suitable constant ghosts associated to
the generators of N=2, the quantization of the model can be done by taking into
account both gauge invariance and supersymmetry. In particular, we show how the
twisted N=2 algebra can be used to obtain in a straightforward way the relevant
cohomology classes. Moreover, we shall be able to establish a very useful
relationship between the local gauge invariant polynomial and the
complete N=2 Yang-Mills action. This important relation can be considered as
the first step towards a fully algebraic proof of the one-loop exactness of the
N=2 beta function.Comment: 22 pages, LaTeX, final version to appear in Journ. Phys.
Renormalizability of Nonrenormalizable Field Theories
We give a simple and elegant proof of the Equivalence Theorem, stating that
two field theories related by nonlinear field transformations have the same S
matrix. We are thus able to identify a subclass of nonrenormalizable field
theories which are actually physically equivalent to renormalizable ones. Our
strategy is to show by means of the BRS formalism that the "nonrenormalizable"
part of such fake nonrenormalizable theories, is a kind of gauge fixing, being
confined in the cohomologically trivial sector of the theory.Comment: 3 pages, revtex, no figure
The trispectrum in ghost inflation
We calculate the trispectrum in ghost inflation where both the contact
diagram and scale-exchange diagram are taken into account. The shape of
trispectrum is discussed carefully and we find that the local form is absent in
ghost inflation. In general, for the non-local shape trispectrum there are not
analogous parameters to and which can
completely characterize the size of local form trispectrum.Comment: 19 pages, 8 figures; clarifications and corrections added, version
accepted for publication in JCA
General Solution Of Linear Vector Supersymmetry
We give the general solution of the Ward identity for the linear vector
supersymmetry which characterizes all topological models. Such solution, whose
expression is quite compact and simple, greatly simplifies the study of
theories displaying a supersymmetric algebraic structure, reducing to a few
lines the proof of their possible finiteness. In particular, the cohomology
technology usually involved for the quantum extension of these theories, is
completely bypassed. The case of Chern-Simons theory is taken as an example.Comment: 18 pages, LaTeX, no figure
Vector Supersymmetry of 2D Yang-Mills Theory
The vector supersymmetry of the 2D topological BF model is extended to 2D
Yang-Mills. The consequences of the corresponding Ward identity on the
ultraviolet behavior of the theory are analyzed.Comment: Some references adde
Let's Twist Again: N=2 Super Yang Mills Theory Coupled To Matter
We give the twisted version of N=2 Super Yang Mills theory coupled to matter,
including quantum fields, supersymmetry transformations, action and algebraic
structure. We show that the whole action, coupled to matter, can be written as
the variation of a nilpotent operator, modulo field equations. An extended
Slavnov-Taylor identity, collecting gauge symmetry and supersymmetry, is
written, which allows to define the web of algebraic constraints, in view of
the algebraic renormalization and of the extension of the non-renormalization
theorems holding for N=2 SYM theory without matter.Comment: 28 pages, final version to be published on CQ
Perturbative Beta Function of N=2 Super Yang-Mills Theories
An algebraic proof of the nonrenormalization theorem for the perturbative
beta function of the coupling constant of N=2 Super Yang-Mills theory is
provided. The proof relies on a fundamental relationship between the N=2
Yang-Mills action and the local gauge invariant polynomial Tr phi^2, phi(x)
being the scalar field of the N=2 vector gauge multiplet. The
nonrenormalization theorem for the beta function follows from the vanishing of
the anomalous dimension of Tr phi^2.Comment: 20 pages, Latex2e, name of institutions correcte
Back reaction, emission spectrum and entropy spectroscopy
Recently, an interesting work, which reformulates the tunneling framework to
directly produce the Hawking emission spectrum and entropy spectroscopy in the
tunneling picture, has been received a broad attention. However, during the
emission process, most related observations have not incorporated the effects
of back reaction on the background spacetime, whose derivations are therefore
not the desiring results for the real physical process. With this point as a
central motivation, in this paper we suitably adapt the \emph{reformulated}
tunneling framework so that it can well accommodate the effects of back
reaction to produce the Hawking emission spectrum and entropy spectroscopy.
Consequently, we interestingly find that, when back reaction is considered, the
Parikh-Wilczek's outstanding observations that, an isolated radiating black
hole has an unitary-evolving emission spectrum that is \emph{not} precisely
thermal, but is related to the change of the Bekenstein-Hawking entropy, can
also be reproduced in the reformulated tunneling framework, meanwhile the
entropy spectrum has the same form as that without inclusion of back reaction,
which demonstrates the entropy quantum is \emph{independent} of the effects of
back reaction. As our final analysis, we concentrate on the issues of the black
hole information, but \emph{unfortunately} find that, even including the
effects of back reaction and higher-order quantum corrections, such tunneling
formalism can still not provide a mechanism for preserving the black hole
information.Comment: 16 pages, no figure, use JHEP3.cls. to be published in JHE
An Algebraic Criterion for the Ultraviolet Finiteness of Quantum Field Theories
An algebraic criterion for the vanishing of the beta function for
renormalizable quantum field theories is presented. Use is made of the descent
equations following from the Wess-Zumino consistency condition. In some cases,
these equations relate the fully quantized action to a local gauge invariant
polynomial. The vanishing of the anomalous dimension of this polynomial enables
us to establish a nonrenormalization theorem for the beta function ,
stating that if the one-loop order contribution vanishes, then will
vanish to all orders of perturbation theory. As a by-product, the special case
in which is only of one-loop order, without further corrections, is
also covered. The examples of the N=2,4 supersymmetric Yang-Mills theories are
worked out in detail.Comment: 1+32 pages, LaTeX2e, typos correcte
Quantum corrections and black hole spectroscopy
In the work \cite{BRM,RBE}, black hole spectroscopy has been successfully
reproduced in the tunneling picture. As a result, the derived entropy spectrum
of black hole in different gravity (including Einstein's gravity,
Einstein-Gauss-Bonnet gravity and Ho\v{r}ava-Lifshitz gravity) are all evenly
spaced, sharing the same forms as , where physical process is only
confined in the semiclassical framework. However, the real physical picture
should go beyond the semiclassical approximation. In this case, the physical
quantities would undergo higher-order quantum corrections, whose effect on
different gravity shares in different forms. Motivated by these facts, in this
paper we aim to observe how quantum corrections affect black hole spectroscopy
in different gravity. The result shows that, in the presence of higher-order
quantum corrections, black hole spectroscopy in different gravity still shares
the same form as , further confirming the entropy quantum is universal
in the sense that it is not only independent of black hole parameters, but also
independent of higher-order quantum corrections. This is a desiring result for
the forthcoming quantum gravity theory.Comment: 14 pages, no figure, use JHEP3.cls. to be published in JHE
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