786 research outputs found
On a class of embeddings of massive Yang-Mills theory
A power-counting renormalizable model into which massive Yang-Mills theory is
embedded is analyzed. The model is invariant under a nilpotent BRST
differential s. The physical observables of the embedding theory, defined by
the cohomology classes of s in the Faddeev-Popov neutral sector, are given by
local gauge-invariant quantities constructed only from the field strength and
its covariant derivatives.Comment: LATEX, 34 pages. One reference added. Version published in the
journa
The Complexity of Vector Spin Glasses
We study the annealed complexity of the m-vector spin glasses in the
Sherrington-Kirkpatrick limit. The eigenvalue spectrum of the Hessian matrix of
the Thouless-Anderson-Palmer (TAP) free energy is found to consist of a
continuous band of positive eigenvalues in addition to an isolated eigenvalue
and (m-1) null eigenvalues due to rotational invariance. Rather surprisingly,
the band does not extend to zero at any finite temperature. The isolated
eigenvalue becomes zero in the thermodynamic limit, as in the Ising case (m=1),
indicating that the same supersymmetry breaking recently found in Ising spin
glasses occurs in vector spin glasses.Comment: 4 pages, 2 figure
On the correspondence between the classical and quantum gravity
The relationship between the classical and quantum theories of gravity is
reexamined. The value of the gravitational potential defined with the help of
the two-particle scattering amplitudes is shown to be in disagreement with the
classical result of General Relativity given by the Schwarzschild solution. It
is shown also that the potential so defined fails to describe whatever
non-Newtonian interactions of macroscopic bodies. An alternative interpretation
of the -order part of the loop corrections is given directly in terms
of the effective action. Gauge independence of that part of the one-loop
radiative corrections to the gravitational form factors of the scalar particle
is proved, justifying the interpretation proposed.Comment: Latex 2.09, 3 ps. figures, 17 page
A Renormalized Supersymmetry in the Topological Yang-Mills Field Theory
We reconsider the algebraic BRS renormalization of Witten's topological
Yang-Mills field theory by making use of a vector supersymmetry Ward identity
which improves the finiteness properties of the model. The vector
supersymmetric structure is a common feature of several topological theories.
The most general local counterterm is determined and is shown to be a trivial
BRS-coboundary.Comment: 18 pages, report REF. TUW 94-10 and UGVA-DPT 1994/07-85
Algebraic renormalization of the BF Yang-Mills Theory
We discuss the quantum equivalence, to all orders of perturbation theory,
between the Yang-Mills theory and its first order formulation through a second
rank antisymmetric tensor field. Moreover, the introduction of an additional
nonphysical vector field allows us to interpret the Yang-Mills theory as a kind
of perturbation of the topological BF model.Comment: 14 pages, some references and acknowledgments added, version to
appear in Phys.Lett.
Higher Nilpotent Analogues of A-infinity Structure
Higher nilpotent analogues of the -structure are explicitly defined
on arbitrary simplicial complexes, generalizing explicit construction of
/hep-th/0704.2609. These structures are associated with the higher nilpotent
differential , satisfying , which is naturally defined on
triangulated manifolds (tetrahedral lattices). The deformation is defined with the help of the
-versions of discrete exterior product and the -operator.Comment: preliminary version, essential corrections mad
Odd Scalar Curvature in Anti-Poisson Geometry
Recent works have revealed that the recipe for field-antifield quantization
of Lagrangian gauge theories can be considerably relaxed when it comes to
choosing a path integral measure \rho if a zero-order term \nu_{\rho} is added
to the \Delta operator. The effects of this odd scalar term \nu_{\rho} become
relevant at two-loop order. We prove that \nu_{\rho} is essentially the odd
scalar curvature of an arbitrary torsion-free connection that is compatible
with both the anti-Poisson structure E and the density \rho. This extends a
previous result for non-degenerate antisymplectic manifolds to degenerate
anti-Poisson manifolds that admit a compatible two-form.Comment: 9 pages, LaTeX. v2: Minor changes. v3: Published versio
The Complexity of Ising Spin Glasses
We compute the complexity (logarithm of the number of TAP states) associated
with minima and index-one saddle points of the TAP free energy. Higher-index
saddles have smaller complexities. The two leading complexities are equal,
consistent with the Morse theorem on the total number of turning points, and
have the value given in [A. J. Bray and M. A. Moore, J. Phys. C 13, L469
(1980)]. In the thermodynamic limit, TAP states of all free energies become
marginally stable.Comment: Typos correcte
Numerical study of the scaling properties of SU(2) lattice gauge theory in Palumbo non-compact regularization
In the framework of a non-compact lattice regularization of nonabelian gauge
theories we look, in the SU(2) case, for the scaling window through the
analysis of the ratio of two masses of hadronic states. In the two-dimensional
parameter space of the theory we find the region where the ratio is constant,
and equal to the one in the Wilson regularization. In the scaling region we
calculate the lattice spacing, finding it at least 20% larger than in the
Wilson case; therefore the simulated physical volume is larger.Comment: 24 pages, 7 figure
String Theory and the Fuzzy Torus
We outline a brief description of non commutative geometry and present some
applications in string theory. We use the fuzzy torus as our guiding example.Comment: Invited review for IJMPA rev1: an imprecision corrected and a
reference adde
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