Exact renormalization group and many-fermion systems

B. Krippa; M. C. Birse; J. A. Mcgovern; N. R. Walet

doi:10.1142/S0217751X05021889

Exact renormalization group and many-fermion systems

B. Krippa, M. C. Birse, J. A. Mcgovern, N. R. Walet

Research output: Contribution to journal › Article › peer-review

Abstract

The exact renormalization group method is applied to many-fermion systems with short-range attractive forces. The strength of the attractive fermion-fermion interaction is determined from the vacuum scattering length. A set of approximate flow equations is derived including fermionic bosonic fluctations. The numerical solutions show a phase transition to a gapped phase. The inclusion of bosonic fluctuations is found to be significant only in the small-gap regime. © World Scientific Publishing Company.

Original language	English
Pages (from-to)	596-598
Number of pages	2
Journal	International Journal of Modern Physics A
Volume	20
Issue number	2-3
DOIs	https://doi.org/10.1142/S0217751X05021889
Publication status	Published - 2005

Keywords

Pairing
Phase transition
Renormalization group
Superfluidity

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10.1142/S0217751X05021889

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title = "Exact renormalization group and many-fermion systems",

abstract = "The exact renormalization group method is applied to many-fermion systems with short-range attractive forces. The strength of the attractive fermion-fermion interaction is determined from the vacuum scattering length. A set of approximate flow equations is derived including fermionic bosonic fluctations. The numerical solutions show a phase transition to a gapped phase. The inclusion of bosonic fluctuations is found to be significant only in the small-gap regime. {\textcopyright} World Scientific Publishing Company.",

keywords = "Pairing, Phase transition, Renormalization group, Superfluidity",

author = "B. Krippa and Birse, {M. C.} and Mcgovern, {J. A.} and Walet, {N. R.}",

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T1 - Exact renormalization group and many-fermion systems

AU - Krippa, B.

AU - Birse, M. C.

AU - Mcgovern, J. A.

AU - Walet, N. R.

PY - 2005

Y1 - 2005

N2 - The exact renormalization group method is applied to many-fermion systems with short-range attractive forces. The strength of the attractive fermion-fermion interaction is determined from the vacuum scattering length. A set of approximate flow equations is derived including fermionic bosonic fluctations. The numerical solutions show a phase transition to a gapped phase. The inclusion of bosonic fluctuations is found to be significant only in the small-gap regime. © World Scientific Publishing Company.

AB - The exact renormalization group method is applied to many-fermion systems with short-range attractive forces. The strength of the attractive fermion-fermion interaction is determined from the vacuum scattering length. A set of approximate flow equations is derived including fermionic bosonic fluctations. The numerical solutions show a phase transition to a gapped phase. The inclusion of bosonic fluctuations is found to be significant only in the small-gap regime. © World Scientific Publishing Company.

KW - Pairing

KW - Phase transition

KW - Renormalization group

KW - Superfluidity

U2 - 10.1142/S0217751X05021889

DO - 10.1142/S0217751X05021889

M3 - Article

VL - 20

SP - 596

EP - 598

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

SN - 0217-751X

IS - 2-3

ER -

Exact renormalization group and many-fermion systems

Abstract

Keywords

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