Yang-Mills thermodynamics at low temperature
نویسنده
چکیده
For the confining phase of SU(2) Yang-Mills thermodynamics we show that the asymptotic series representing the pressure is Borel summable for negative (unphysical) values of a suitably defined coupling constant. The inverse Borel transform is meromorphic except for a branch cut along the positive-real axis. The physical pressure is precisely nil at vanishing and acquires a small imaginary admixture at small temperature the latter indicating violations of thermal equilibrium (turbulences).
منابع مشابه
The deconfining phase of SU(2) Yang-Mills thermodynamics
We discuss nonperturbative SU(2) Yang-Mills thermodynamics in the deconfining phase. The maximal resolution of trivial-topology fluctuations is set by coarse-grained, interacting calorons and anticalorons: The effective loop expansion is very efficient. Postulating that SU(2)CMB today = U(1)Y , a modification of thermalized, low-momentum photon propagation is predicted for temperatures a few ti...
متن کاملLinear growth of the trace anomaly in Yang-Mills thermodynamics
In the lattice work by Miller [1, 2] and in the work by Zwanziger [3] a linear growth of the trace anomaly for high temperatures was found in pure SU(2) and SU(3) Yang-Mills theories. These results show the remarkable property that the corresponding systems are strong interacting even at high temperatures. We show that within an analytical approach to Yang-Mills thermodynamics this linear rise ...
متن کاملOn the thermodynamics of large N non - commutative super Yang - Mills theory
We study the thermodynamics of the large N non-commutative super Yang-Mills theory in the strong ’t Hooft coupling limit in the spirit of AdS/CFT correspondence. Although the thermodynamic quantities of nearextremal D3-branes with NS B fields, which are dual gravity configurations of the non-commutative N = 4 super Yang-Mills theory, are the same as those without B fields, there are some differ...
متن کاملPotential for inert adjoint scalar field in SU(2) Yang-Mills thermodynamics
A scalar adjoint field is introduced as a spatial average over (anti)calorons in a thermalized SU(2) Yang-Mills theory. This field is associated with the thermal ground state in the deconfining phase and acts as a background for gauge fields of trivial topology. Without invoking detailed microscopic information we study the properties of the corresponding potential, and we discuss its thermodyn...
متن کاملEffective field theory approach to N = 4 supersymmetric Yang-Mills at finite temperature
We study the perturbation expansion of the free energy of N = 4 supersymmetric SU(N) Yang-Mills at finite temperature in powers of ’t Hooft’s coupling g2N in the large N limit. Infrared divergences are controlled by constructing a hierarchy of two 3 dimensional effective field theories. This procedure is applied to the calculation of the free energy to order (g2N)3/2, but it can be extended to ...
متن کامل