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Semiclassical Description of Relativistic Spin without use of Grassmann variables and the Dirac equation
Relativistic Spin Grassmann variables Dirac equation
2011/9/29
Abstract: We propose the relativistic particle model without Grassmann variables which, being canonically quantized, leads to the Dirac equation. Both $\Gamma$\,-matrices and the relativistic spin-ten...
Is the Schwarzschild Metric a Vacuum Solution of the Einstein Equation?
the Schwarzschild Metric Vacuum Solution the Einstein Equation
2011/9/13
This paper examines the inhomogeneous Einstein equation for a static spherically symmetric metric with a source term corresponding to perfect fluid with p = −. By a careful treatment of the equ...
Chiral symmetry breaking revisited: the gap equation with lattice ingredients
Chiral symmetry breaking revisited the gap equation lattice ingredients
2011/1/7
We study chiral symmetry breaking in QCD, using as ingredients in the quark gap equation recent lattice results for the gluon and ghost propagators. The Ansatz employed for the quark-gluon vertex is p...
N=4 Multi-Particle Mechanics, WDVV Equation and Roots
N=4 Multi-Particle Mechanics WDVV Equation and Roots
2010/12/23
We review the relation of N=4 superconformal multi-particle models on the real line to the WDVV equation and an associated linear equation for two prepotentials, F and U. The superspace treatment give...
Open M2-branes with Flux and Modified Basu-Harvey Equation
Open M2-branes Flux Modified Basu-Harvey Equation
2010/12/24
The supersymmetric actions of closed multiple M2 branes with flux for the BL and the ABJM theories have been constructed recently by Lambert and Richmond in \cite{LR}. In this paper we extend the con...
We conclude our investigation on the QCD equation of state (EoS) with 2+1 staggered flavors and one-link stout improvement. We extend our previous study [JHEP 0601:089 (2006)] by choosing even finer l...
A quantum isomonodromy equation and its application to N=2 SU(N) gauge theories
quantum isomonodromy equation N=2 SU(N) gauge theories
2010/12/22
We give an explicit differential equation which is expected to determine the instanton partition function in the presence of the full surface operator in N=2 SU(N) gauge theory. The differential equat...
Boltzmann Equation for Relativistic Neutral Scalar Field in Non-equilibrium Thermo Field Dynamics
Boltzmann Equation Relativistic Neutral Scalar Field
2010/12/22
A relativistic neutral scalar field is investigated on the basis of the Schwinger-Dyson equation in the non-equilibrium thermo field dynamics. A time evolution equation for a distribution function is...
Finite Size Scaling for Criticality of the Schrödinger Equation
Finite Size Scaling Criticality Schrö dinger Equation
2010/10/20
By solving the Schrodinger equation one obtains the whole energy spectrum, both the bound and
the continuum states. If the Hamiltonian depends on a set of parameters, these could be tuned to a trans...
The relations between smooth and peaked soliton solutions are reviewed for the Camassa-Holm (CH) shallow water wave equation in one spatial dimension. The canonical Hamiltonian formulation of the CH e...
The stationary Weyl equation and Cosserat elasticity
neutrino spin torsion Cosserat elasticity
2010/3/18
The paper deals with the Weyl equation which is the massless Dirac equation. We study the Weyl equation in the stationary setting, i.e. when the spinor field oscillates harmonically in time. We sugges...
Wave patterns within the generalized convection-reaction-diffusion equation
generalized convection-reaction-diffusion equation compactons peakons shockfronts soliton-like travelling wave solutions
2010/4/7
A set of travelling wave solutions to a hyperbolic generalization of the convection-reaction-diffusion is studied by the methods of local nonlinear alnalysis and numerical simulation. Special attentio...
