| Issue |
EPL
Volume 105, Number 5, March 2014
|
|
|---|---|---|
| Article Number | 51001 | |
| Number of page(s) | 4 | |
| Section | The Physics of Elementary Particles and Fields | |
| DOI | https://doi.org/10.1209/0295-5075/105/51001 | |
| Published online | 18 March 2014 | |
Improved ring approximation for the free energy in thermal scalar field theory
Instituto de Física, Universidade de São Paulo - São Paulo, SP 05315-970, Brazil
Received: 16 January 2014
Accepted: 24 February 2014
In a d-dimensional field theory at finite temperature T, with a 
interaction, we compute the contributions to the free energy in the ring approximation. These are calculated in a consistent manner, by evaluating the thermal self-energy 
in a similar approximation. The complete result can be expressed in closed form in terms of the Haber and Weldon functions 
. This result exhibits, to leading order, a non-analyticity in the coupling constant of the form 
or 
when d is even or odd, respectively.
PACS: 11.10.Wx – Finite-temperature field theory
© EPLA, 2014
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