JMP: Relativistic Quantum Mechanics, Field Theory, Brane Theory (Including Strings)

The coincidence limit of the graviton propagator in de Donder gauge on de Sitter background

E. O. Kahya, S. P. Miao, and R. P. Woodard
We explicitly work out the de Sitter breaking contributions to the recent solution for the de Donder gauge graviton propagator on de Sitter. We also provide explicit power series expansions for the two structure functions, which are suitable for implementing dimensional regularization. And we evalua ... [J. Math. Phys. 53, 022304 (2012)] published Fri Feb 10, 2012.

Noncommutative deformation of spinor zero mode and Atiyah-Drinfeld-Hitchin-Manin construction

Yoshiaki Maeda and Akifumi Sako
A method to construct noncommutative instantons as deformations from commutative instantons was provided by Maeda and Sako [J. Geom. Phys. 58, 1784 (2008)]. Using this noncommutative deformed instanton, we investigate the spinor zero modes of the Dirac operator in a noncommutative instanton backgrou ... [J. Math. Phys. 53, 022303 (2012)] published Fri Feb 10, 2012.

On flavor symmetry in lattice quantum chromodynamics

El Hassan Saidi
Using a well established method to engineer non-abelian symmetries in superstring compactifications, we study the link between the point splitting method of Creutz et al. [PoS: Lattice 2010, 078 (2010) and JHEP 041, 1012 (2010)] for implementing flavor symmetry in lattice QCD; and singularity theo ... [J. Math. Phys. 53, 022302 (2012)] published Thu Feb 9, 2012.

Solitonic solutions of Faddeev model

Chang-Guang Shi and Minoru Hirayama
An application of the equation proposed by the present authors, which is equivalent to the static field equation of the Faddeev model, is discussed. Under some assumptions on the space and on the form of the solution, the field equation is reduced to a nonlinear ordinary differential equation of sec ... [J. Math. Phys. 53, 022301 (2012)] published Tue Feb 7, 2012.

Cohomology of line bundles: Applications

Ralph Blumenhagen, Benjamin Jurke, Thorsten Rahn, and Helmut Roschy
Massless modes of both heterotic and Type II string compactifications on compact manifolds are determined by vector bundle valued cohomology classes. Various applications of our recent algorithm for the computation of line bundle valued cohomology classes over toric varieties are presented. For the ... [J. Math. Phys. 53, 012302 (2012)] published Thu Jan 26, 2012.

Superalgebra realization of the 3-algebras in [script N]=6,8 Chern-Simons-matter theories

Fa-Min Chen
We use superalgebras to realize the 3-algebras used to construct [script N]=6,8 Chern-Simons-matter (CSM) theories. We demonstrate that the superalgebra realization of the 3-algebras provides a unified framework for classifying the gauge groups of the [script N]>=5 theories based on 3-algebras. Usin ... [J. Math. Phys. 53, 012301 (2012)] published Fri Jan 6, 2012.

The graviton propagator in de Donder gauge on de Sitter background

S. P. Miao, N. C. Tsamis, and R. P. Woodard
We construct the graviton propagator on de Sitter background in exact de Donder gauge. We prove that it must break de Sitter invariance, just like the propagator of the massless, minimally coupled scalar. Our explicit solutions for its two scalar structure functions preserve spatial homogeneity and ... [J. Math. Phys. 52, 122301 (2011)] published Mon Dec 12, 2011.

Linear relations among holomorphic quadratic differentials and induced Siegel's metric on [script M]

Marco Matone and Roberto Volpato
We find the explicit form of the volume form on the moduli space of non-hyperelliptic Riemann surfaces induced by the Siegel metric, a long-standing question in string theory. This question is related to the explicit form of the (g2)(g3)/2 linearly independent relations among the 2-fold products of ... [J. Math. Phys. 52, 102305 (2011)] published Tue Oct 25, 2011.

Deformations of quantum field theories on de Sitter spacetime

Eric Morfa-Morales
Quantum field theories on de Sitter spacetime with global U(1) gauge symmetry are deformed using the joint action of the internal symmetry group and a one-parameter group of boosts. The resulting theory turns out to be wedge-local and non-isomorphic to the initial one for a class of theories, includ ... [J. Math. Phys. 52, 102304 (2011)] published Mon Oct 24, 2011.

Distances of qubit density matrices on Bloch sphere

Sejong Kim
We recall the Einstein velocity addition on the open unit ball B of [openface R] and its algebraic structure, called the Einstein gyrogroup. We establish an isomorphism between the Einstein gyrogroup on B and the set of all qubit density matrices representing mixed states endowed with an appropriate ... [J. Math. Phys. 52, 102303 (2011)] published Fri Oct 21, 2011.

Dynamical stability of global vortex strings

Nguyen Vien Tho and To Ba Ha
The time-dependent field equations of the nonlinear field systems, whose static soliton solutions are (global) vortex strings, are studied by a numerical approach. They concern (i) the theory of a single complex scalar field with a spontaneously broken U(1) symmetry, and (ii) the system of a complex ... [J. Math. Phys. 52, 102302 (2011)] published Tue Oct 18, 2011.

A symmetric approach to the massive nonlinear sigma model

Ruggero Ferrari
In the present paper we extend the procedure of divergences subtraction to the massive case, previously introduced for the massless nonlinear sigma model (D = 4). Perturbative expansion in the number of loops is successfully constructed. The resulting theory depends on the spontaneous symmetry break ... [J. Math. Phys. 52, 092303 (2011)] published Wed Sep 28, 2011.

A few remarks on the zero modes of the Faddeev-Popov operator in the Landau and maximal Abelian gauges

M. S. Guimaraes and S. P. Sorella
The construction outlined by Henyey [Phys. Rev. D 20, 1460 (1979)] is employed to provide examples of normalizable zero modes of the Faddeev-Popov operator in the Landau and maximal Abelian gauges in SU(2) Euclidean Yang-Mills theories in d = 3 dimensions. The corresponding gauge configurations have ... [J. Math. Phys. 52, 092302 (2011)] published Mon Sep 26, 2011.

Distinguished self-adjoint extensions of Dirac operators via Hardy-Dirac inequalities

Naiara Arrizabalaga
We prove some Hardy-Dirac inequalities with two different weights including measure valued and Coulombic ones. Those inequalities are used to construct distinguished self-adjoint extensions of Dirac operators for a class of diagonal potentials related to the weights in the mentioned inequalities. ... [J. Math. Phys. 52, 092301 (2011)] published Thu Sep 15, 2011.

On generalized Sethi-Vafa-Witten formulas

James Fullwood
We present a formula for computing proper pushforwards of classes in the Chow ring of a projective bundle under the projection pi:[openface P]([script E])-->B, for B being a non-singular compact complex algebraic variety of any dimension. Our formula readily produces generalizations of formulas deri ... [J. Math. Phys. 52, 082304 (2011)] published Mon Aug 29, 2011.

One real function instead of the Dirac spinor function

Andrey Akhmeteli
Three out of four complex components of the Dirac spinor can be algebraically eliminated from the Dirac equation (if some linear combination of electromagnetic fields does not vanish), yielding a partial differential equation of the fourth order for the remaining complex component. This equation is ... [J. Math. Phys. 52, 082303 (2011)] published Tue Aug 16, 2011.

Topics in cubic special geometry

Stefano Bellucci, Alessio Marrani, and Raju Roychowdhury
We reconsider the sub-leading quantum perturbative corrections to [script N]=2 cubic special Kahler geometries. Imposing the invariance under axion-shifts, all such corrections (but the imaginary constant one) can be introduced or removed through suitable, lower unitriangular symplectic transformati ... [J. Math. Phys. 52, 082302 (2011)] published Tue Aug 16, 2011.

Existence and properties of radial solutions in the self-dual Chern-Simons O(3) sigma model

Kwangseok Choe and Jongmin Han
In this paper, we study the self-dual equations arising from the Chern-Simons gauged O(3) sigma model with symmetric potential. We prove the existence of radially symmetric solutions of the reduced elliptic equation having topological and nontopological boundary conditions. ... [J. Math. Phys. 52, 082301 (2011)] published Thu Aug 4, 2011.

Extensions of the Poincare group

Ignatios Antoniadis, Lars Brink, and George Savvidy
We construct an extension of the Poincare group which involves a mixture of internal and space-time supersymmetries. The resulting group is an extension of the superPoincare group with infinitely many generators which carry internal and space-time indices. It is a closed algebra since all Jacobi ide ... [J. Math. Phys. 52, 072303 (2011)] published Wed Jul 13, 2011.

On solutions to the Faddeev-Niemi equations

Antti J. Niemi and Andrzej Wereszczynski
Recently it has been pointed out that the so-called Faddeev-Niemi equations that describe the Yang-Mills equations of motion in terms of a decomposed gauge field, can have solutions that obey the standard Yang-Mills equations with a source term. Here we argue that the source term is covariantly cons ... [J. Math. Phys. 52, 072302 (2011)] published Thu Jul 7, 2011.

Generalized self-duality equations of polynomial type in Yang-Mills theories

Hironobu Kihara
The purpose of this paper is to generalize the self-duality equation by Tchrakian and Corrigan et al.Novel generalized self-duality equations on higher-dimensional spaces are discussed. This class of equations includes the usual self-duality equation for four-dimensional spaces. Some of the generali ... [J. Math. Phys. 52, 072301 (2011)] published Thu Jul 7, 2011.