Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-12-12
Phys.Rev. D57 (1998) 6356-6371
Physics
High Energy Physics
High Energy Physics - Theory
final version to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.57.6356
The gauged Nambu-Jona-Lasinio model in the quenched-ladder approximation has non-trivial dynamics near a critical scaling region (critical curve) separating a chiral symmetric and a dynamically chiral symmetry broken phase. Scalar and pseudoscalar composites corresponding to the four-fermion interaction become relevant degrees of freedom at short distances, which is reflected in the appearance of a large anomalous dimension of the four-fermion operators. A method is introduced for solving the Schwinger-Dyson equation for the Yukawa vertex in specific kinematic regimes. This allows one to derive an analytic expression for the scalar propagator, which is valid along the entire critical curve. The mass and width of the scalar composites in the critical scaling region are reexamined and the conformal phase transition at the critical gauge coupling is discussed.
Gusynin Valery P.
Reenders Manuel
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