scholarly journals RENORMALIZATION GROUP AND TRIVIALITY IN NONCOMPACT LATTICE QED WITH LIGHT FERMIONS

1992 ◽  
Vol 07 (38) ◽  
pp. 3561-3568 ◽  
Author(s):  
V. AZCOITI ◽  
G. Di CARLO ◽  
A.F. GRILLO
Keyword(s):  
Renormalization Group ◽  
Strong Coupling ◽  
Weak Coupling ◽  
Functional Dependence ◽  
Average Energy ◽  
Numerical Results ◽  
Coupling Constant ◽  
Coupling Phase ◽  
Show Evidence

In the framework of noncompact lattice QED with light fermions, we derive the functional dependence of the average energy per plaquette on the bare parameters using blockspin Renormalization Group arguments and assuming that the renormalized coupling vanishes. Our numerical results for this quantity in 84 and 104 lattices show evidence for triviality in the weak coupling phase and point to a nonvanishing value for the renormalized coupling constant in the strong coupling phase.

scholarly journals INTERACTING WESS–ZUMINO–NOVIKOV–WITTEN MODELS

1996 ◽  
Vol 11 (14) ◽  
pp. 2591-2611
Author(s):  
OLEG A. SOLOVIEV
Keyword(s):  
Renormalization Group ◽  
Strong Coupling ◽  
Weak Coupling ◽  
Chiral Model ◽  
Renormalization Group Flow ◽  
Coupling Phase ◽  
Duality Symmetry ◽  
Current Interaction ◽  
Principal Chiral Model ◽  
Group Flow

We study the system of two WZNW models coupled to each other via the current–current interaction. The system is proven to possess the strong/weak coupling duality symmetry. The strong coupling phase of this theory is discussed in detail. It is shown that in this phase the interacting WZNW models approach nontrivial conformal points along the renormalization group flow. The relation between the principal chiral model and interacting WZNW models is investigated.

THE RELATION BETWEEN CHIRAL SYMMETRY SPONTANEOUSLY BREAKING AND CONFINEMENT IN QED

2001 ◽  
Vol 16 (12) ◽  
pp. 2253-2266
Author(s):  
KOU SU-PENG
Keyword(s):  
Strong Coupling ◽  
Chiral Symmetry ◽  
Dimensional Reduction ◽  
Weak Coupling ◽  
Coupling Phase ◽  
Fermion Pairs ◽  
Two Phases

In this paper, we use Parisi and Sourlas dimensional reduction to show that QED has two phases, the strong coupling phase and weak coupling phase. Because chiral symmetry is spontaneously broken, particles with fractional charges are confined in the strong coupling phase by the condensation of topological configurations, and particles with integer charges are screened by fermion pairs.

scholarly journals Phases of a strongly coupled four-fermion theory

2018 ◽  
Vol 175 ◽  
pp. 03004 ◽  
Author(s):  
David Schaich ◽  
Simon Catterall
Keyword(s):  
Strong Coupling ◽  
Weak Coupling ◽  
Strongly Coupled ◽  
Coupling Phase ◽  
Long Range Correlations ◽  
Mass Gap ◽  
Narrow Region ◽  
Lattice Field ◽  
Lattice Symmetry ◽  
Lattice Fermion

We present ongoing investigations of a four-dimensional lattice field theory with four massless reduced staggered fermions coupled through an SU(4)-invariant fourfermion interaction. As in previous studies of four-fermion and Higgs–Yukawa models with different lattice fermion discretizations, we observe a strong-coupling phase in which the system develops a mass gap without breaking any lattice symmetry. This symmetric strong-coupling phase is separated from the symmetric weak-coupling phase by a narrow region of four-fermi coupling in which the system exhibits long-range correlations.

PHASE STRUCTURE OF THREE- AND FOUR-DIMENSIONAL ϕ4 FIELD THEORY

1992 ◽  
Vol 07 (19) ◽  
pp. 4539-4558 ◽  
Author(s):  
G.V. EFIMOV ◽  
S.N. NEDELKO
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Strong Coupling ◽  
Phase Structure ◽  
Space Time ◽  
Strong Coupling Regime ◽  
Canonical Transformations ◽  
Coupling Constant ◽  
Large Coupling ◽  
Large Coupling Constant

The strong coupling regime of gϕ4 theory in space-time Rd for d=3, 4 is investigated by the methods of canonical transformations and the renormalization group. It is shown that the model describes a system symmetric under transformation ϕ→−ϕ both at small and large coupling constant g. Comparison with the case d=2 shows a crucial influence of the renormalization structure of the theory on its phase structure.

scholarly journals Final unification with three gravitational constants associated with nuclear, electromagnetic and gravitational interactions

2016 ◽  
Vol 4 (2) ◽  
pp. 105
Author(s):  
Satya Seshavatharam UV ◽  
Lakshminarayana S
Keyword(s):  
Neutron Stars ◽  
Strong Coupling ◽  
Weak Coupling ◽  
Gravitational Constant ◽  
Strong Coupling Constant ◽  
Newtonian Gravity ◽  
Coupling Constant ◽  
Unified Approach ◽  
Electromagnetic Interactions ◽  
Newtonian Gravitational Constant

By introducing two large pseudo gravitational constants assumed to be associated with strong and electromagnetic interactions, we make an attempt to combine the old Abdus Salam’s ‘strong gravity’ concept with ‘Newtonian gravity’ and try to understand the constructional features of nuclei, atoms and neutron stars in a unified approach. From the known elementary atomic and nuclear physical constants, estimated magnitude of the Newtonian gravitational constant is (6.66 to 6.70) x10-11 m3/kg/sec2. Finally, by eliminating the proposed two pseudo gravitational constants, we inter-related the Newtonian gravitational constant, Fermi’s weak coupling constant and Strong coupling constant, in a generalized approach.

GAUGE INVARIANT STUDY OF THE STRONG COUPLING PHASE OF MASSLESS QUANTUM ELECTRODYNAMICS

1990 ◽  
Vol 05 (09) ◽  
pp. 1789-1800 ◽  
Author(s):  
M. UKITA ◽  
M. KOMACHIYA ◽  
R. FUKUDA
Keyword(s):  
Strong Coupling ◽  
Quantum Electrodynamics ◽  
Chiral Symmetry Breaking ◽  
Renormalization Scheme ◽  
Gauge Parameter ◽  
Coupling Constant ◽  
Critical Coupling ◽  
Gauge Invariant ◽  
Coupling Phase ◽  
Massless Quantum

The strong coupling phase of massless Quantum Electrodynamics is studied in a gauge invariant way. The formalism is given in which the order parameter of the chiral symmetry breaking is calculated through the vacuum polarization diagrams. Applying this method, the critical coupling constant is shown to exist that is independent of the gauge parameter but is now dependent on the ratio of the two kinds of cutoff. Implication of this new parameter on the renormalization scheme in the strong coupling phase is discussed.

SCALING APPROACH TO THE ANISOTROPIC NONLOCAL KARDAR–PARISI–ZHANG EQUATION WITH SPATIALLY CORRELATED NOISE

2002 ◽  
Vol 16 (04) ◽  
pp. 563-569 ◽  
Author(s):  
GANG TANG ◽  
BENKUN MA
Keyword(s):  
Renormalization Group ◽  
Strong Coupling ◽  
Weak Coupling ◽  
Group Analysis ◽  
Correlated Noise ◽  
Scaling Exponents ◽  
Coupling Region ◽  
Renormalization Group Analysis ◽  
Spatially Correlated ◽  
Spatially Correlated Noise

The scaling approach proposed by Hentschel and Family [Phys. Rev. Lett.66, 1982 (1991)] is generalized to the studies of the scaling of the anisotropic nonlocal Kardar–Parisi–Zhang equation with spatially correlated noise. The scaling exponents in both the weak- and strong-coupling regions are obtained, respectively. The scaling exponents obtained in the weak-coupling region can well match the results of the dynamic renormalization-group analysis.

scholarly journals DETERMINATION OF THE STRONG COUPLING FROM HADRONIC TAU DECAYS USING RENORMALIZATION GROUP SUMMED PERTURBATION THEORY

2013 ◽  
Vol 28 (24) ◽  
pp. 1360004 ◽  
Author(s):  
GAUHAR ABBAS ◽  
B. ANANTHANARAYAN ◽  
IRINEL CAPRINI
Keyword(s):  
Renormalization Group ◽  
Strong Coupling ◽  
Coupling Constant ◽  
Convergence Properties ◽  
Tau Decays ◽  
Higher Order Terms ◽  
Borel Transformation ◽  
Adler Function ◽  
Hadronic Tau

We determine the strong coupling constant αs from the τ hadronic width using a renormalization group summed (RGS) expansion of the QCD Adler function. The main theoretical uncertainty in the extraction of αs is due to the manner in which renormalization group invariance is implemented, and the as yet uncalculated higher order terms in the QCD perturbative series. We show that new expansion exhibits good renormalization group improvement and the behavior of the series is similar to that of the standard CIPT expansion. The value of the strong coupling in [Formula: see text] scheme obtained with the RGS expansion is [Formula: see text]. The convergence properties of the new expansion can be improved by Borel transformation and analytic continuation in the Borel plane. This is discussed elsewhere in these issues.

Exchange-Correlation Energy Densities and Response Potentials: Connection Between Two Definitions and Analytical Model for the Strong-Coupling Limit of a Stretched Bond

2019 ◽  
Author(s):  
S. Giarrusso ◽  
Paola Gori-Giorgi
Keyword(s):  
Density Functional Theory ◽  
Strong Coupling ◽  
Density Functional ◽  
Correlation Energy ◽  
Order Term ◽  
Strong Coupling Limit ◽  
Local Form ◽  
Coupling Constant ◽  
Functional Theory ◽  
Exchange Correlation

We analyze in depth two widely used definitions (from the theory of conditional probablity amplitudes and from the adiabatic connection formalism) of the exchange-correlation energy density and of the response potential of Kohn-Sham density functional theory. We introduce a local form of the coupling-constant-dependent Hohenberg-Kohn functional, showing that the difference between the two definitions is due to a corresponding local first-order term in the coupling constant, which disappears globally (when integrated over all space), but not locally. We also design an analytic representation for the response potential in the strong-coupling limit of density functional theory for a model single stretched bond.<br>

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