Renormalization-group approach to the infrared behavior of a zero-temperature Bose system

Physical Review B - Condensed Matter and Materials Physics

Volumn 69, Issue 2, 2004, Pages 245131-2451321

  Pistolesi, F ^a   Castellani, C ^b   Di Castro, C ^b   Strinati, G C ^c  

^a CNRS   (France)

^b UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

^c UNIVERSITY OF CAMERINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC METHOD; ARTICLE; BOSON; CORRELATION FUNCTION; INFRARED SPECTROSCOPY; LINEAR SYSTEM; PHASE TRANSITION; QUANTUM MECHANICS; STRUCTURE ANALYSIS; TEMPERATURE; TEMPERATURE DEPENDENCE;

EID: 1442263537     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (29)

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22. For a recent review on field theory methods for interacting boson gas see, for instance, J. O. Andersen, cond-mat/0305138 (unpublished).
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25. The noninteracting boson system, on the contrary, with fixed chemical potential, is not well defined (as at T=0 and μ<0 the system contains no particle). As a consequence, the perturbative expansion is not well defined. On the other hand, the organization of classes of diagrams on the basis of the IR divergences-as we do-seems to be a well-defined procedure since it bypasses the expansion in the bare potential.
26. Monomials linear in the frequency and containing fields of the same type vanish identically, as they represent total derivatives in the action.
27. One can show by power counting that in the variables phase and modulus all running couplings are irrelevant. This is equivalent to stating that no IR divergences appear in the theory.
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