Comment on Two - Loop Free Energy in N = 4 Supersymmetric Yang - Mills Theory at Finite Temperature ⋆

نویسندگان

  • A. Fotopoulos
  • T. R. Taylor
چکیده

The strong coupling behavior of finite temperature free energy in N = 4 supersym-metric SU (N) Yang-Mills theory has been recently discussed by Gubser, Klebanov and Tseytlin in the context of AdS-SYM correspondence. In this note, we focus on the weak coupling behavior. As a result of a two-loop computation we obtain, in the large N 't Hooft limit, F (g 2 N → 0) ≈ − π 2 6 N 2 V 3 T 4 (1 − 3 2π 2 g 2 N). Comparison with the strong coupling expansion provides further indication that free energy is a smooth monotonic function of the coupling constant.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

4 v 3 1 4 Ja n 19 99 NUB – 3192 hep - th / 9811224 Remarks on Two - Loop Free Energy in N = 4 Supersymmetric

The strong coupling behavior of finite temperature free energy in N = 4 supersym-metric SU (N) Yang-Mills theory has been recently discussed by Gubser, Klebanov and Tseytlin in the context of AdS-SYM correspondence. In this note, we focus on the weak coupling behavior. As a result of a two-loop computation we obtain, in the large N 't Hooft limit, F (g 2 N → 0) ≈ − π 2 6 N 2 V 3 T 4 (1 − 3 2π 2...

متن کامل

Effective 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

Thermal N = 4 SYM theory as a 2 D Coulomb gas Sean

We consider N = 4 supersymmetric Yang-Mills theory with SU(N) gauge group at large N and at finite temperature on a spatial S. We show that, at finite weak ’t Hooft coupling, the theory is naturally described as a two dimensional Coulomb gas of complex eigenvalues of the Polyakov-Maldacena loop, valued on the cylinder. In the low temperature confined phase the eigenvalues condense onto a strip ...

متن کامل

Singularity structure of maximally supersymmetric scattering amplitudes.

We present evidence that loop amplitudes in maximally supersymmetric (N=4) Yang-Mills theory (SYM) beyond the planar limit share some of the remarkable structures of the planar theory. In particular, we show that through two loops, the four-particle amplitude in full N=4 SYM has only logarithmic singularities and is free of any poles at infinity--properties closely related to uniform transcende...

متن کامل

Excitations in Hot Non-Commutative Theories

We study the dispersion relation for scalar excitations in supersymmetric, noncommutative theories at finite temperature. In N =4 Yang-Mills the low momenta modes have superluminous group velocity. In the massless Wess-Zumino model the minimum of the dispersion relation is at non zero momentum for temperatures above T0 ≈ (gθ) 1 2 . We briefly comment on N =2 Yang-Mills at finite density.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1998