Equivalence of the Four-Fermi Theory with the [sigma]-model |
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Results 1-3 of 5
Page 41
... level of perturbation theory : 3 1 2 Z. = 1 + log 2 2 8π i = 1 r- 2 = 1 + + 1 2 Σ h2 ; log 7 2 ( 3.12a ) ( 3.12b ) 0 2 = 2 8π- i = 1 1 3 -μ 23 - 1 + 1926 , 109 2 Z3 log g 2 4π 2π 2 3 24 = 1 + 221,94 € 109 Z log 2 μ δμ 2 = g λεπ i = 1 4 ...
... level of perturbation theory : 3 1 2 Z. = 1 + log 2 2 8π i = 1 r- 2 = 1 + + 1 2 Σ h2 ; log 7 2 ( 3.12a ) ( 3.12b ) 0 2 = 2 8π- i = 1 1 3 -μ 23 - 1 + 1926 , 109 2 Z3 log g 2 4π 2π 2 3 24 = 1 + 221,94 € 109 Z log 2 μ δμ 2 = g λεπ i = 1 4 ...
Page 48
... level and its value in the chain approxi- Za mation is 0 ( 1 ) . Therefore , when doing calculations accurate only to 2 12 . the one loop level of perturbation theory , we can replace by x To calculate the renormalization group ...
... level and its value in the chain approxi- Za mation is 0 ( 1 ) . Therefore , when doing calculations accurate only to 2 12 . the one loop level of perturbation theory , we can replace by x To calculate the renormalization group ...
Page 54
... level of perturbation theory , we must add to the diagrams of Figure 8 an infinite number of fully - dressed two point fermion loops illustrated by the expansion in Figure 9. This procedure replaces the bare four - Fermi vertex G with ...
... level of perturbation theory , we must add to the diagrams of Figure 8 an infinite number of fully - dressed two point fermion loops illustrated by the expansion in Figure 9. This procedure replaces the bare four - Fermi vertex G with ...
Contents
EQUIVALENCE OF THE FOURFERMI THEORY WITH | 10 |
CALLANSYMANZIK EQUATIONS AND THE OPERATOR | 34 |
CONCLUSION | 60 |
Common terms and phrases
ab(q² BCS theory boson regulator fields boson self energy Callan-Symanzik equations chain irreducible diagram chain-irreducible chiral SU(2)xSU collective compositeness condition constant g counter terms coupling constants d²x defined derive the Callan-Symanzik diagrams of Figure diagrams shown divergence appearing divergent pieces Eguchi energy q² Fermi fermion self energy Feynman rules finite four-Fermi interaction four-Fermi theory gap equation given by Eq Goldstone boson Goldstone mode Green's functions infinite number Lagrangian density Lagrangian is equivalent level of perturbation loop integral loop level mass shell matrix element Nambu and Jona-Lasinio Nuovo Cimento orders of perturbation particle perturbation theory Phys point fermion loops propagator quantities g quasi-particle excitations regularized provided regulator masses renormalizable renormalization group coefficients renormalized operators shown in Figure superconducting tend to infinity theory is equivalent vertex functions wave function renormalization Yukawa Yukawa theory Z₁ Z₂ δμ µ² бно