Application of the renormalization group method to the problem of phase transition in one-dimensional metallic systems. III. Extension of the calculation to arbitrary energy variables

1975 ◽  
Vol 21 (3-4) ◽  
pp. 431-446 ◽  
Author(s):  
N. Menyh�rd ◽  
J. S�lyom
Keyword(s):  
Phase Transition ◽  
Renormalization Group ◽  
Group Method ◽  
Renormalization Group Method ◽  
One Dimensional ◽  
Arbitrary Energy ◽  
Metallic Systems

scholarly journals EXACT RENORMALIZATION GROUP AND MANY-FERMION SYSTEMS

2005 ◽  
Vol 20 (02n03) ◽  
pp. 596-598 ◽  
Author(s):  
B. KRIPPA ◽  
M. C. BIRSE ◽  
J. A. MCGOVERN ◽  
N. R. WALET
Keyword(s):  
Phase Transition ◽  
Renormalization Group ◽  
Short Range ◽  
Numerical Solutions ◽  
Scattering Length ◽  
Group Method ◽  
Renormalization Group Method ◽  
Flow Equations ◽  
Fermion Systems ◽  
Exact Renormalization Group

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.

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