1781577
Gauge field fluctuations and first-order phase transition in color superconductivity.
We study the gauge field fluctuations in dense quark matter and determine the temperature of the induced first-order phase transition to the color-superconducting phase in weak coupling. We find that the local approximation of the coupling between the gauge potential and the order parameter, employed in the Ginzburg-Landau theory, has to be modified by restoring the full momentum dependence of the polarization function of gluons in the superconducting phase.
120841215
On the Next-leading order Heavy-Quark Potential from AdS/CFT
Applying the AdS/CFT correspondence, the expansion of the heavy-quark potential of N = 4 supersymmetric Yang–Mills theory at large Nc is carried out to the next-leading term in the large 't Hooft coupling at zero temperature. The strong coupling corresponds to the semi-classical expansion of the string-sigma model, the gravity dual of the Wilson loop operator, with the next-leading term expressed in terms of functional determinants of fluctuations. The singularities of these determinants are examined and their contributions are evaluated numerically. We find the next-leading order correction is negative and suppressed by minus square root of the 't Hooft coupling relative to the leading order.
23363214
Bosonization of lattice fermions.
For any purely fermionic system on a lattice in arbitrary space dimension we prove that there is a different but well-defined system on the same lattice, consisting of both [ital bona] [ital fide] fermions and bosons with an interaction depending on a parameter [lambda], which characterizes a same-site repulsion between particles. The energy spectrum and the scattering matrix of the former are identical to those in the finite energy sector of the latter, in the limit [lambda][r arrow][infinity] (i.e., hard-core repulsion). This general theorem is applied to a resonance-boson model in a lattice fermion system, whose solution may have relevance to high-[ital T][sub [ital c]] superconductivity.
27260563
Multipole expansion of conserved tensor currents and the number of form factors.
We develop a formalism for defining and studying the form factors which describe the coupling of a spin-{ital J} particle through a conserved tensor current to a spin-{ital S} boson. For {ital S}=2, these form factors are the single-graviton gravitational form factors. We investigate the behavior of the various form factors under {ital C}, {ital P}, {ital T}, and {ital CPT} and classify them accordingly. We show that under {ital CPT} invariance all the multipoles of the mass distribution are the same for a particle and its antiparticle. We also show that in a quantum theory of gravity the coupling of a particle to the graviton is in general different from that of its antiparticle. Only when {ital P} and {ital T} are both valid symmetries of the underlying theory do a particle and its antiparticle couple identically to the graviton. The number of form factors for arbitrary {ital J} and {ital S} is given. We show that a massive Majorana particle (a {ital CPT} self-conjugate particle) coupling to an odd-spin boson possesses only anapole moments. Massless Majorana particles with spin{ne}1/2 have no single-photon electromagnetic form factors while the ones with spin{ne}1/2, 1, or 3/2 have no interactions with amore » spin-3 boson; this applies to the graviton ({ital J}=2, {ital S}=1,3) and to the massless gravitino ({ital J}=3/2, {ital S}=1). Our results also apply to extended objects (nuclei, . . .) in the low-energy limit.« less
31616983
Electromagnetic properties of generalized Majorana particles.
We prove a theorem stating that a massive Majorana particle (a CPT-self-conjugate particle) with arbitrary spin J can possess only an anapole moment and multipoles of that. We also show that massless Majorana particles, except those of spin (1/2, do not have any single-photon electromagnetic form factor.
5808101
Path integrals as discrete sums.
We present a new formulation of Feynman's path integral, based on Voronin's theorems on the universality of the Riemann zeta function. The result is a discrete sum over paths,'' each given by a zeta function. A new measure which leads to the correct quantum mechanics is explicitly given.
117379397
Various topics in field theory