119477403
Thermo Field Dynamics and Para Statistical Mechanics
Within the framework of thermo field dynamics, we derive the partition functions for a harmonic oscillator obeying parafermi and parabose statistics. The thermodynamic functions are studied for different limits of the order of the statistics and are shown to have the expected behaviour.
123610301
The hamiltonian structures of the KP hierarchy
Abstract We obtain the two hamiltonian structures of the KP hierarchy following the method of Drinfeld and Sokolov. We point out how the second structure of Drinfeld and Sokolov needs to be modified in the present case. We briefly comment on the connection between these structures and the W 1+∞ algebra.
119380448
DYNAMICAL SUPERSYMMETRY
We show, in a simple quantum mechanical model, how a theory can become supersymmetric in the presence of interactions even when the free theory is not. This dynamical generation of supersymmetry relaxes the condition on the equality of masses of the superpartners which would be of phenomenological interest.
39204644
Thermal Operator and Cutting Rules at Finite Temperature and Chemical Potential
In the context of scalar field theories, both real and complex, we derive the cutting description at finite temperature (with zero/finite chemical potential) from the cutting rules at zero temperature through the action of a simple thermal operator. We give an alternative algebraic proof of the largest time equation which brings out the underlying physics of such a relation. As an application of the cutting description, we calculate the imaginary part of the one-loop retarded self-energy at zero/finite temperature and finite chemical potential and show how this description can be used to calculate the dispersion relation as well as the full physical self-energy of thermal particles.
120503298
Systematic expansion for compact QED near weak coupling
18810830
The sTB-B hierarchy
Abstract We construct a new supersymmetric two boson (sTB-B) hierarchy and study its properties. We derive the conserved quantities and the Hamiltonian structures (proving the Jacobi identity) for the system. We show how this system gives the sKdV-B equation and its Hamiltonian structures upon appropriate reduction. We also describe the zero curvature formulation of this hierarchy both in the superspace as well as in components.
14418964
Alternative dispersionless limit of N=2 supersymmetric KdV-type hierarchies
Abstract We present a systematic procedure for obtaining the dispersionless limit of a class of N =1 supersymmetric systems starting from the Lax description of their dispersive counterparts. This is achieved by starting with an N =2 supersymmetric system and scaling the fields in an alternative manner so as to maintain N =1 supersymmetry. We illustrate our method by working out explicitly the examples of the dispersionless supersymmetric two boson hierarchy and the dispersionless supersymmetric Boussinesq hierarchy.
18219085
Background field quantization and non-commutative QED
We quantize non-commutative QED canonically in the background field gauge for weak and slowly varying background fields. We determine the complete basis for expansion under such an approximation. As an application, we derive the Wigner function which determines the leading order high temperature behavior of the perturbative amplitudes of non-commutative QED. To leading order, we also give a closed form expression for the distribution function for non-commutative QED at high temperature.
119087410
Path integral approach to residual gauge fixing
In this paper we study the question of residual gauge fixing in the path integral approach for a general class of axial-type gauges including the light-cone gauge. We show that the two cases--axial-type gauges and the light-cone gauge--lead to very different structures for the explicit forms of the propagator. In the case of the axial-type gauges, fixing the residual symmetry determines the propagator of the theory completely. On the other hand, in the light-cone gauge there is still a prescription dependence even after fixing the residual gauge symmetry, which is related to the existence of an underlying global as well as local symmetry.
119194703
Phenomenological implications of S-duality symmetry
Abstract It is proposed that S -duality is a fundamental symmetry of nature which is spontaneously broken. Axion and dilaton are identified with the doublet of the S -duality symmetry group SL ( 2 , R ) . The symmetry is broken at a high scale corresponding to the experimentally estimated axion decay constant f χ . The symmetry breaking mechanism is discussed in analogy with PCAC in pion physics. S -duality invariant interactions of fermions with axion and dilaton doublet are introduced. The symmetry breaking mechanism contributes negligibly small corrections to fermion masses in the QCD sector. Inspired by universality in string theory, the S -duality invariant interaction of the axion–dilaton doublet to QCD fermions is proposed to generalize to all fermions. Phenomenological consequences of this broken symmetry are explored.
18666187
Topics in Finite Temperature Field Theory
We discuss a few selected topics in finite temperature field theory.