18449042
Phase space reduction and vortex statistics: An anyon quantization ambiguity.
We examine the quantization of the motion of two charged vortices in a Ginzburg-Landau theory for the fractional quantum Hall effect recently proposed by the first two authors. The system has two second-class constraints which can be implemented either in the reduced phase space or Dirac-Gupta-Bleuler formalism. Using the intrinsic formulation of statistics, we show that these two ways of implementing the constraints are inequivalent unless the vortices are quantized with conventional statistics, either fermionic or bosonic.
121348066
Flux tube vibrations and the excited glue spectroscopy
As a step toward a fundamental understanding of hybrid states we demonstrate the close relationship between the relativistic string and lattice simulation results for excited glue states with two fixed color sources.
119941265
Scalar and QCD string confinement
We compare scalar and string confinement mechanisms. Solutions for the massless quark case are found and discussed.
16119693
A note on the computation of mode sums
The computation of mode sums of the types encountered in basic quantum field theoretic applications is addressed with an emphasis on their expansions into functions of distance that can be interpreted as potentials. We show how to regularize and calculate the Casimir energy for the continuum NambuGoto string with massive ends as well as for the discrete non-relativistic string with massive ends. As an additional example, we examine the effect on the interquark potential of the Kalb-Ramond field interacting with a QCD string.
29392446
From scalar to string confinement
We outline a connection between scalar quark confinement, a phenomenologically successful concept heretofore lacking fundamental justification, and QCD. Although scalar confinement does not follow from QCD, there is an interesting and close relationship between them. We develop a simple model intermediate between scalar confinement and the QCD string for illustrative purposes. Finally, we find analytically the bound state spectrum of the light degrees of freedom for a spinless, massless quark in scalar, time-component vector, and string confinement through semi-classical quantization.
17624939
TOPOLOGICAL MASS GENERATION IN 3+1 DIMENSIONS
The 4-dimensional theory of a 1-form Abelian gauge field A coupled to a 2-form (antisymmetric tensor) potential B is studied. The two gauge invariances of the theory admit a coupling mB ∧ F where F is the field strength (F=dA) of A. It is shown that this theory is a unitary, renormalizable theory of a massive spin-one field with no additional degrees of freedom. In this sense, it is a generalization to four dimensions of topological mechanisms in two dimensions (the Schwinger model) and three dimensions (Chern-Simons theory). The issue of spontaneous symmetry breaking is also examined.
27586397
Photon and graviton Green's functions on cosmic string space-times.
We present the Green's functions for photons and gravitons in the vicinity of an idealized cosmic string. We stress the importance of the Ward identities involved and the necessity for smoothing'' the curvature singularity in the space-time in order to carry out the calculations. The Green's functions are employed to determine the renormalized vacuum expectation value of the stress-energy tensor for scalar, electromagnetic, and linearized gravitational fields propagating in the neighborhood of an idealized cosmic string.
34774210
Massless scalar and antisymmetric tensor fields in de Sitter space.
The theory of a massless, minimally coupled scalar field \ensuremath{\varphi} is closely related to that of a massless, antisymmetric tensor field ${A}_{\ensuremath{\mu}\ensuremath{\nu}}$. It is shown that in de Sitter space the field ${A}_{\ensuremath{\mu}\ensuremath{\nu}}$ has a de Sitter-invariant state with a well-defined two-point function, while it is known that no such states exist for the scalar field \ensuremath{\varphi}.