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Renormalization Of The Energy-Momentum Tensor And The Validity Of The Equivalence Principle At Finite Temperature, Jf Donoghue, Br Holstein, Rw Robinett

Barry R Holstein

Using the techniques of finite-temperature field theory we renormalize the electromagnetic and gravitational couplings of an electron which is immersed in a heat bath with T

Guage Invariant De Gennes Model, Anthony Day, T. Lubensky

Anthony Roy Day

A gauge-invariant formulation of the de Gennes model for the nematic—to—smectic-A transition is presented. In this formulation the energy associated with the gauge field A⃗ reduces to the Frank elastic energy with the application of the constraint n⃗0·A⃗=0 where n⃗0 is the uniform equilibrium director and A⃗ is to be identified with deviations δn⃗ of the director from equilibrium. It is shown that thermodynamic quantities and renormalization-group recursion relations are gauge invariant. All gauge dependence appears in the exponent η describing order-parameter correlations. The gauge invariance of a negative dielectric anisotropy smectic-A in an external electric field is also studied.

Possibilities For Finite Grand Unification With N = 2 Supersymmetry, Asim Gangopadhyaya

Asim Gangopadhyaya

Predicting The Proton Mass From Pi-Pi-Scattering Data, Jf Donoghue, E Golowich, Br Holstein

Barry R Holstein

We relate experimental information on ππ scattering to tree-level effective chiral Lagrangians. The result is of a form similar to that used in Skyrme-type models of the proton, where the nucleons are described as topologically stable solitons of the chiral fields. In such models, one can express the proton mass in terms of measured scattering data, with the result Mp=880±300 MeV. We interpret this as a consistency test for the Skyrme models.