scholarly journals Multicritical behavior ofZ2×O(2)Gross-Neveu-Yukawa theory in graphene

2011 ◽  
Vol 84 (11) ◽  
Author(s):  
Bitan Roy
Keyword(s):  
Yukawa Theory

scholarly journals Solving the 2D SUSY Gross-Neveu-Yukawa model with conformal truncation

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
A. Liam Fitzpatrick ◽  
Emanuel Katz ◽  
Matthew T. Walters ◽  
Yuan Xin
Keyword(s):  
Phase Transition ◽  
Critical Point ◽  
Fine Tuning ◽  
Yukawa Model ◽  
Spectral Functions ◽  
Scalar Superfield ◽  
Local Operators ◽  
Dimensionless Coupling ◽  
Zumino Model ◽  
Yukawa Theory

Abstract We use Lightcone Conformal Truncation to analyze the RG flow of the two-dimensional supersymmetric Gross-Neveu-Yukawa theory, i.e. the theory of a real scalar superfield with a ℤ2-symmetric cubic superpotential, aka the 2d Wess-Zumino model. The theory depends on a single dimensionless coupling $$ \overline{g} $$ g ¯ , and is expected to have a critical point at a tuned value $$ {\overline{g}}_{\ast } $$ g ¯ ∗ where it flows in the IR to the Tricritical Ising Model (TIM); the theory spontaneously breaks the ℤ2 symmetry on one side of this phase transition, and breaks SUSY on the other side. We calculate the spectrum of energies as a function of $$ \overline{g} $$ g ¯ and see the gap close as the critical point is approached, and numerically read off the critical exponent ν in TIM. Beyond the critical point, the gap remains nearly zero, in agreement with the expectation of a massless Goldstino. We also study spectral functions of local operators on both sides of the phase transition and compare to analytic predictions where possible. In particular, we use the Zamolodchikov C-function to map the entire phase diagram of the theory. Crucial to this analysis is the fact that our truncation is able to preserve supersymmetry sufficiently to avoid any additional fine tuning.

scholarly journals The β-function for Yukawa theory at large Nf

2018 ◽  
Vol 2018 (8) ◽  
Author(s):  
Tommi Alanne ◽  
Simone Blasi
Keyword(s):  
Β Function ◽  
Yukawa Theory

Exact interior solutions in Einstein–Cartan–Yukawa theory

1988 ◽  
Vol 66 (2) ◽  
pp. 126-131
Author(s):  
K. D. Krori ◽  
P. Borgohain ◽  
Kanika Das ◽  
Arunima Sarma
Keyword(s):  
Massive Star ◽  
The Other ◽  
Simple Method ◽  
Physical Conditions ◽  
Interior Solutions ◽  
Yukawa Theory

A simple method of obtaining singularity-free interior solutions in Einstein–Cartan–Yukawa theory is presented here. The validity of the solution is shown by considering two types of configurations, one Schwarzschild-like and the other Tolman-IV-like. We recover the Schwarzschild and Tolman-IV solutions as soon as the Cartan and Yukawa effects are switched off. In both cases the necessary physical conditions are satisfied. The possible role of torsion in halting the collapse of a massive star is also studied.

scholarly journals Convergence of the light-front coupled-cluster method in a quenched scalar Yukawa theory

2019 ◽  
Vol 99 (11) ◽  
Author(s):  
Austin Usselman ◽  
Sophia S. Chabysheva ◽  
John R. Hiller
Keyword(s):  
Light Front ◽  
Cluster Method ◽  
Coupled Cluster ◽  
Coupled Cluster Method ◽  
Yukawa Theory

The floating potential of spherical probes and dust grains. II: Orbital motion theory

2003 ◽  
Vol 69 (6) ◽  
pp. 485-506 ◽  
Author(s):  
R. V. KENNEDY ◽  
J. E. ALLEN
Keyword(s):  
Analytical Solution ◽  
Surface Potential ◽  
Orbital Motion ◽  
Dusty Plasmas ◽  
Dust Particles ◽  
Floating Potential ◽  
Probe Surface ◽  
Full Theory ◽  
Ion Absorption ◽  
Yukawa Theory

Probe theory is generally used to find the potential of dust particles immersed in plasma. The orbital motion limited theory (OML) is often used to find the potential at the probe surface, but the assumptions underlying this theory are usually not valid in the case of dust and the more general orbital motion (OM) theory is much harder to calculate. Solutions are given for the OM theory in a range of cases applicable to dust. It is shown that the surface potential the full theory gives reduces to the OML result for small probes. Commonly in dusty plasmas the OML surface potential is used, with the surrounding distribution given by Debye–Hückel, or Yukawa theory. This form, however, neglects ion depletion due to the absorption of particles on the probe surface. In this paper a new analytical solution to the system is given which is applicable to small probes and dust. This new expression is equivalent to Yukawa form, but takes ion absorption into account.

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