We study the problem of a Brownian particle diffusing in finite dimensions in a potential given by ψ = φ 2 /2 where φ is Gaussian random field. Exact results for the diffusion constant in the high temperature phase are given in one and two dimensions and it is shown to vanish in a power-law fashion at the dynamical transition temperature. Our results are confronted with numerical simulations wh...

We study the process of relaxation back to thermal equilibrium in (1 + 1)-dimensional conformal field theory at finite temperature. When the size of the system is much larger than the inverse temperature, perturbations decay exponentially with time. On the other hand, when the inverse temperature is large, the relaxation is oscillatory with characteristic period set by the size of the system. W...

Precise measurement of Polyakov loop correlation is important for finite temperature physics. First of all heavy quark potentials at finite temperature are obtained by measuring twoPolyakov-loop correlation functions. It is already well-known that we can obtain the QQ̄ potential below and above the critical temperature (TC) from this measurement. Due to the nonperturbative effects, however, ther...

Recent work on the zero temperature phases and phase transitions of strongly random electronic system is reviewed. The transition between the spin glass and quantum paramagnet is examined, for both metallic and insulating systems. Insight gained from the solution of infinite range models leads to a quantum field theory for the transition between a metallic quantum paramagnetic and a metallic sp...

Trapped and cooled gases of alkali atoms can be manipulated to exhibit a variety of interesting phenomena. For example, dilute gases of fermionic atoms, in 2 hyperfine states, can be cooled to temperatures where they become superfluid. An external field can be applied to tune the scattering length a. When |a| exceeds the interparticle spacing, nonperturbative tools are needed to study the syste...

The cutting is an important machining technology, in which is belong to nonlinear large deformation, involving material nonlinear, geometry nonlinear and original bug, the thermal energy coupling question, and the nonlinear boundary condition, and so on. For the processing of metal cutting, using the large-scale commercial finite element theory, the coupling finite element model is established ...

On finite–temperature and –density radiative corrections to the neutrino effective potential in the early Universe Abstract Finite–temperature and –density radiative corrections to the neutrino effective potential in the otherwise CP –symmetric early Universe are considered in the real–time approach of Thermal Field Theory. A consistent perturbation theory endowed with the hard thermal loop res...

We demonstrate, at the one-loop level, how the theory-independent part of proper N-point Green functions at finite temperature and chemical potential can be formulated in the world-line formalism, where φ 3 theory, photon scattering, effective potential in a constant magnetic field, π 0 → 2γ decay are all described in a unified way. We then derive various useful formulae and check their consist...

We consider thermal n-point Green functions in the framework of quantum field theory at finite temperature. We show how analytic continuations from imaginary to real energies relate these functions originally defined in the imaginary-time formalism to retarded and advanced real-time ones. The described method is valid to all orders of perturbation theory. It has the further advantage that it is...

We use a ten dimensional dual string background to study aspects of the physics of large N four dimensional SU(N) gauge theory, where its fundamental quarks are charged under a background electric field. The theory is N = 2 supersymmetric for vanishing temperature and electric field. We work in a limit where the quarks do not back-react. At zero temperature, we observe that the electric field i...