scholarly journals Phase structure of NJL model with weak renormalization group

2018 ◽  
Vol 931 ◽  
pp. 105-131 ◽  
Author(s):  
Ken-Ichi Aoki ◽  
Shin-Ichiro Kumamoto ◽  
Masatoshi Yamada
Keyword(s):  
Renormalization Group ◽  
Phase Structure ◽  
Njl Model

scholarly journals Loop-TNR analysis of CP(1) model with theta term

2018 ◽  
Vol 175 ◽  
pp. 11015
Author(s):  
Hikaru Kawauchi ◽  
Shinji Takeda
Keyword(s):  
Renormalization Group ◽  
Phase Structure ◽  
Two Dimensional ◽  
Dimensional Lattice ◽  
Tensor Networks ◽  
Tensor Network ◽  
Network Methods ◽  
Renormalization Method ◽  
Future Work

The phase structure of the two dimensional lattice CP(1) model in the presence of the θ term is analyzed by tensor network methods. The tensor renormalization group, which is a standard renormalization method of tensor networks, is used for the regions θ = 0 and θ ≠ 0. Loop-TNR, which is more suitable for the analysis of near criticality, is also implemented for the region θ = 0. The application of Loop-TNR for the region θ ≠ 0 is left for future work.

scholarly journals Interacting two-particle states in the symmetric phase of the chiral Nambu–Jona-Lasinio model

2020 ◽  
Vol 35 (16) ◽  
pp. 2050130 ◽  
Author(s):  
A. Jakovác ◽  
A. Patkós
Keyword(s):  
Renormalization Group ◽  
Interaction Energy ◽  
Finite Energy ◽  
Bound State ◽  
Particle State ◽  
Physical Size ◽  
Composite Object ◽  
Njl Model ◽  
Group Flow ◽  
Symmetric Phase

The renormalization group flow of the chiral Nambu–Jona-Lasinio (NJL) model with one fermion flavor is mapped out in the symmetric phase with help of the Functional Renormalization Group (FRG) method using a physically motivated nonlocal trial effective action. The non-interacting infrared end-point of the flow of the four-fermion couplings is now accompanied by nonzero limiting composite couplings characteristic for interacting two-particle states with finite energy and physical size. The interaction energy of the constituents is extracted as a function of the physical size of the composite object. The propagation of a two-particle state minimizing the interaction energy has a natural bound state interpretation.

RENORMALIZATION OF THE SINE-GORDON MODEL AND NONCONSERVATION OF THE KINK CURRENT

1991 ◽  
Vol 06 (03) ◽  
pp. 409-429 ◽  
Author(s):  
KERSON HUANG ◽  
JANOS POLONYI
Keyword(s):  
Renormalization Group ◽  
Phase Structure ◽  
Continuum Limit ◽  
Renormalization Group Flow ◽  
Small Coupling ◽  
Vortex Density ◽  
Euclidean Lattice ◽  
Sine Gordon Model ◽  
Group Flow ◽  
The Continuum

We renormalize the (1+1)-dimensional sine-Gordon model by placing it on a Euclidean lattice, and study the renormalization group flow. We start with a compactified theory with controllable vortex activity. In the continuum limit the theory has a phase in which the kink current is anomalous, with divergence given by the vortex density. The phase structure is quite complicated. Roughly speaking, the system is normal for small coupling T. At the Kosterlitz-Thouless point T=π/2, the current can become anomalous. At the Coleman point T=8π, either the current becomes anomalous or the theory becomes trivial.

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 The RG flow of Nambu–Jona-Lasinio model at finite temperature and density

2015 ◽  
Vol 30 (27) ◽  
pp. 1550180 ◽  
Author(s):  
Ken-Ichi Aoki ◽  
Masatoshi Yamada
Keyword(s):  
Renormalization Group ◽  
Phase Boundary ◽  
Finite Temperature ◽  
Quantum Corrections ◽  
Coupling Constant ◽  
Density Region ◽  
Chiral Phase ◽  
Functional Renormalization Group ◽  
Njl Model ◽  
High Density Region

We study the Nambu–Jona-Lasinio model at finite temperature and finite density by using the functional renormalization group. The RG flows of the four-Fermi coupling constant in the NJL model are investigated. We obtain the chiral phase boundary in cases of the large-[Formula: see text] leading approximation and an improved approximation. The large-[Formula: see text] nonleading term at the vanishing temperature has a singularity at the Fermi surface. We show that the quantum corrections by the large-[Formula: see text] nonleading term largely influence the phase boundary at low temperature and high density region.

Sign in / Sign up

Export Citation Format

Share Document