121664450
String loop effect on the BRST charge
Abstract An effective BRST charge Q BRST which incorporates the string one-loop corrections is presented for the closed basonic string in an arbitrary background. The effective σ-model action which leads to such a Q BRST is obtained and some consequences are discussed.
120503298
Systematic expansion for compact QED near weak coupling
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.
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.
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.
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.
118906676
Reply to “Comment on ‘Light-front Schwinger model at finite temperature’ ”
In the preceding comment, Blankleider and Kvinikhidze criticize the form of the thermal propagator used previously by us and propose an alternate thermal propagator for the fermions in the light-front Schwinger model. We show that, within the standard light-front quantization used by us, the thermal propagator for the fermions is unique as presented in that paper.
16528412
Anomalous magnetic moment of electron in Chern–Simons QED
Abstract We calculate the anomalous magnetic moment of the electron in the Chern–Simons theory in 2+1 dimensions with and without a Maxwell term, both at zero temperature as well as at finite temperature. In the case of the Maxwell–Chern–Simons (MCS) theory, we find that there is an infrared divergence, both at zero as well as at finite temperature, when the tree level Chern–Simons term vanishes, which suggests that a Chern–Simons term is essential in such theories. At high temperature, the thermal correction in the MCS theory behaves as 1 β ln βM , where β denotes the inverse temperature and M , the Chern–Simons coefficient. On the other hand, we find no thermal correction to the anomalous magnetic moment in the pure Chern–Simons (CS) theory.
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.
119009436
Duality and integrability of two-dimensional string effective action
Abstract We present a prescription for constructing the monodromy matrix, M (ω) , for O ( d , d ) invariant string effective actions and derive its transformation properties under the T -duality group. This allows us to construct M (ω) for new backgrounds, starting from known ones, which are related by T -duality. As an application, we derive the monodromy matrix for the exactly solvable Nappi–Witten model, both when B =0 and B ≠0.
119054229
Colliding string waves and duality
Abstract The collision of plane waves corresponding to massless states of closed string is considered in D -dimensional space–time. The reduced tree level effective action is known to be manifestly O ( d , d ) invariant, d being the number of transverse spatial dimensions in the collision process. We adopt a coset space reformulation of the effective two-dimensional theory and discuss the relation of this process with classical integrable systems in two dimensions in the presence of gravity. We show how it is possible to generate new backgrounds for the scattering process, from known background solutions to the equations of motion, in the coset reformulation. We present explicit calculations for the case of four space–time dimensions as an illustrative example.