Quasi-particle re-summation and integral gap equation in thermal field theory

@article{LeClair2004QuasiparticleRA,
  title={Quasi-particle re-summation and integral gap equation in thermal field theory},
  author={Andr{\'e} LeClair},
  journal={Journal of High Energy Physics},
  year={2004},
  volume={2005},
  pages={068-068}
}
  • A. LeClair
  • Published 3 September 2004
  • Physics
  • Journal of High Energy Physics
A new approach to quantum field theory at finite temperature and density in arbitrary space-time dimension D is developed. We focus mainly on relativistic theories, but the approach applies to non-relativistic ones as well. In this quasi-particle re-summation, the free energy takes the free-field form but with the one-particle energy ?() replaced by ?(), the latter satisfying a temperature-dependent integral equation with kernel related to a zero temperature form-factor of the trace of stress… 

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References

SHOWING 1-10 OF 98 REFERENCES

Renormalization Group Flow and Thermodynamics of Conformal Field Theories *

We discuss the free-energy density of bosonic and fermionic theories possessing strongly coupled critical points in D = 3. We construct a stationary renormalization group trajectory which

Stationary RG flow and thermodynamics of conformal field theories

We argue that one can understand the relationship between critical free-energy densities of theories connected via non-perturbative renormalization group flows, in terms of the the number of fields

Purely elastic scattering theories and their ultraviolet limits

Universal term in the free energy at a critical point and the conformal anomaly.

  • Affleck
  • Physics
    Physical review letters
  • 1986

c-theorem and spectral representation

...