scholarly journals Bound states in functional renormalization group

2019 ◽  
Vol 34 (27) ◽  
pp. 1950154 ◽  
Author(s):  
Antal Jakovác ◽  
András Patkós
Keyword(s):  
Renormalization Group ◽  
Type Theory ◽  
Spectral Decomposition ◽  
Bound States ◽  
Scattering Amplitude ◽  
Microscopic Theory ◽  
Effective Theory ◽  
Functional Renormalization Group ◽  
Renormalization Group Equations ◽  
Oppositely Charged

Equivalence criteria are established for an effective Yukawa-type theory of composite fields representing two-particle fermion bound states with the original “microscopic” theory of interacting fermions based on the spectral decomposition of the 2-to-2 fermion scattering amplitude. Functional renormalization group equations of the effective theory are derived exploiting relations expressing the equivalence. The effect of truncating the spectral decomposition is investigated quantitatively on the example of the nonrelativistic bound states of two oppositely charged fermions.

scholarly journals WILSONIAN BLACK HOLE ENTROPY IN QUANTUM GRAVITY

1996 ◽  
Vol 11 (16) ◽  
pp. 2823-2834
Author(s):  
SERGEI D. ODINTSOV ◽  
YONGSUNG YOON
Keyword(s):  
Black Hole ◽  
Renormalization Group ◽  
Quantum Gravity ◽  
Black Hole Entropy ◽  
Conformal Factor ◽  
Infrared Region ◽  
Coupling Constants ◽  
Effective Theory ◽  
Free Form ◽  
Renormalization Group Equations

Using the Wilsonian procedure (renormalization group improvement) we discuss the finite quantum corrections to black hole entropy in renormalizable theories. In this way, the Wilsonian black hole entropy is found for GUT’s (of asymptotically free form, in particular) and for the effective theory for the conformal factor aiming to describe quantum gravity in the infrared region. The off-critical regime (where the coupling constants are running) for the effective theory for the conformal factor in quantum gravity (with or without torsion) is explicitly constructed. The corresponding renormalization group equations for the effective couplings are found using the Schwinger-DeWitt technique for the calculation of the divergences of the fourth order operator.

scholarly journals CONFORMAL FACTOR DYNAMICS IN THE 1/N EXPANSION

1995 ◽  
Vol 10 (09) ◽  
pp. 733-739 ◽  
Author(s):  
E. ELIZALDE ◽  
S. D. ODINTSOV
Keyword(s):  
Renormalization Group ◽  
Quantum Gravity ◽  
Cosmological Constant ◽  
Effective Potential ◽  
Bound States ◽  
Conformal Factor ◽  
Effective Theory ◽  
Cosmological Constant Problem ◽  
New Model

We suggest to consider conformal factor dynamics as applying to composite bound states, in the framework of the 1/N expansion. In this way, a new model of effective theory for quantum gravity is obtained. The renormalization group (RG) analysis of this model provides a framework to solve the cosmological constant problem, since the value of this constant turns out to be suppressed, as a result of the RG contributions. The effective potential for the conformal factor is also found.

scholarly journals Scalar mass stability bound in a simple Yukawa-theory from renormalization group equations

2016 ◽  
Vol 32 (02) ◽  
pp. 1750011 ◽  
Author(s):  
A. Jakovác ◽  
I. Kaposvári ◽  
A. Patkós
Keyword(s):  
Renormalization Group ◽  
Systematic Investigation ◽  
Composite Fermion ◽  
Yukawa Model ◽  
Functional Renormalization Group ◽  
Stability Bound ◽  
Renormalization Group Equations ◽  
Scalar Mass ◽  
Power Series Expansions ◽  
Yukawa Theory

Functional renormalization group (FRG) equations are constructed for a simple Yukawa-model with discrete chiral symmetry, including also the effect of a nonzero composite fermion background beyond the conventional scalar condensate. The evolution of the effective potential of the model, generically depending on two invariants, is explored with the help of power series expansions. Systematic investigation of the effect of a class of irrelevant operators on the lower (stability) bound allows a non-perturbative extension of the maximal cutoff value consistent with any given mass of the scalar field.

Sign in / Sign up

Export Citation Format

Share Document