scholarly journals SPECIAL SURFACE TRANSITION: MASSIVE FIELD THEORY AND CRITICAL EXPONENTS IN THREE DIMENSIONS

1997 ◽  
pp. 143 ◽  
Author(s):  
Shpot
2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Junchen Rong ◽  
Ning Su

Abstract We develop the numerical bootstrap technique to study the 2 + 1 dimensional $$ \mathcal{N} $$ N = 1 superconformal field theories (SCFTs). When applied to the minimal $$ \mathcal{N} $$ N = 1 SCFT, it allows us to determine its critical exponents to high precision. This model was argued in [1] to describe a quantum critical point (QCP) at the boundary of a 3 + 1D topological superconductor. More interestingly, this QCP can be reached by tuning a single parameter, where supersymmetry (SUSY) is realized as an emergent symmetry. We show that the emergent SUSY condition also plays an essential role in bootstrapping this SCFT. But performing a “two-sided” Padé re-summation of the large N expansion series, we calculate the critical exponents for Gross-Neveu-Yukawa models at N =4 and N =8.


Author(s):  
Sauro Succi

Chapter 32 expounded the basic theory of quantum LB for the case of relativistic and non-relativistic wavefunctions, namely single-particle quantum mechanics. This chapter goes on to cover extensions of the quantum LB formalism to the overly challenging arena of quantum many-body problems and quantum field theory, along with an appraisal of prospective quantum computing implementations. Solving the single particle Schrodinger, or Dirac, equation in three dimensions is a computationally demanding task. This task, however, pales in front of the ordeal of solving the Schrodinger equation for the quantum many-body problem, namely a collection of many quantum particles, typically nuclei and electrons in a given atom or molecule.


1985 ◽  
Vol 112 (8) ◽  
pp. 407-410 ◽  
Author(s):  
S Mukhopadhyay ◽  
Ibha Chatterjee

2014 ◽  
Vol 330 (2) ◽  
pp. 581-637 ◽  
Author(s):  
Sylvain Carrozza ◽  
Daniele Oriti ◽  
Vincent Rivasseau

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