The specific heat of a single crystal sample of YBa2Cu307-b has been measured with magnetic fields up to 8 T applied parallel to the c axis of the crystal. The results provide strong evidence for the existence of a critical regime within which there is scaling behavior characteristic of the three-dimensional 3'-Y model with critical exponents consistent with those observed in superffuid He.
A new approach to the dynamics of relaxation and kinetics of thermalization in a scalar field theory is presented that incorporates the relevant time scales through the resummation of hard thermal loops. An alternative derivation of the kinetic equations for the ''quasiparticle'' distribution functions is obtained that allows a clear understanding of the different ''coarse-graining'' approximations usually involved in a kinetic description. This method leads to a systematic perturbative expansion to obtain the kinetic equations including hard thermal loop resummation and to an improvement including renormalization, off-shell effects, and contributions that change chemical equilibrium on short time scales. As a by-product of these methods we establish the equivalence between the relaxation time scale in the linearized equation of motion of the quasiparticles and the thermalization time scale of the quasiparticle distribution function in the ''relaxation time approximation'' including hard thermal loop effects. Hard thermal loop resummation dramatically modifies the scattering rate for long wavelength modes as compared to the usual ͑semi͒classical estimate. Relaxation and kinetics are studied both in the unbroken and broken symmetry phases of the theory. The broken symmetry phase also provides the setting to obtain the contribution to the kinetic equations from processes that involve decay of a heavy scalar into light scalar particles in the medium.
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