More about superconformal field theory. Hamiltonian formalism

1993 ◽  
Vol 32 (5) ◽  
pp. 775-790
Author(s):  
A. Foussats ◽  
C. Repetto ◽  
O. P. Zandron ◽  
O. S. Zandron
Keyword(s):  
Field Theory ◽  
Hamiltonian Formalism ◽  
Superconformal Field Theory

Variational formulation of relativistic four-body systems in quantum field theory: scalar quadronium

2002 ◽  
Vol 80 (5) ◽  
pp. 605-612
Author(s):  
B Ding ◽  
J W Darewych
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Fock Space ◽  
Hamiltonian Formalism ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Quantum Field ◽  
Scalar Particles ◽  
Pairwise Interactions ◽  
Approximate Wave

We discuss a variational method for describing relativistic four-body systems within the Hamiltonian formalism of quantum field theory. The scalar Yukawa (or Wick–Cutkosky) model, in which scalar particles and antiparticles interact via a massive or massless scalar field, is used to illustrate the method. A Fock-space variational trial state is used to describe the stationary states of scalar quadronium (two particles and two antiparticles) interacting via one-quantum exchange and virtual annihilation pairwise interactions. Numerical results for the ground-state mass and approximate wave functions of quadronium are presented for various strengths of the coupling, for the massive and massless quantum exchange cases. PACS Nos.: 11.10Ef, 11.10St, 03.70+k, 03.65Pm

scholarly journals Continuum limit in numerical simulations of the $\mathcal{N}=2$ Landau–Ginzburg model

2019 ◽  
Vol 2019 (10) ◽  
Author(s):  
Okuto Morikawa
Keyword(s):  
Field Theory ◽  
Continuum Limit ◽  
Central Charge ◽  
Finite Size ◽  
Scaling Analysis ◽  
Finite Size Scaling ◽  
Superconformal Field Theory ◽  
Lattice Field ◽  
Scaling Dimension ◽  
The Continuum

Abstract The $\mathcal{N}=2$ Landau–Ginzburg description provides a strongly interacting Lagrangian realization of an $\mathcal{N}=2$ superconformal field theory. It is conjectured that one such example is given by the two-dimensional $\mathcal{N}=2$ Wess–Zumino model. Recently, the conjectured correspondence has been studied by using numerical techniques based on lattice field theory; the scaling dimension and the central charge have been directly measured. We study a single superfield with a cubic superpotential, and give an extrapolation method to the continuum limit. Then, on the basis of a supersymmetric-invariant numerical algorithm, we perform a precision measurement of the scaling dimension through a finite-size scaling analysis.

scholarly journals Superconformal field theory and Jack superpolynomials

2012 ◽  
Vol 2012 (9) ◽  
Author(s):  
Patrick Desrosiers ◽  
Luc Lapointe ◽  
Pierre Mathieu
Keyword(s):  
Field Theory ◽  
Superconformal Field Theory

CORRELATION FUNCTIONS IN THE N=2 SUPERCONFORMAL FIELD THEORY CORRESPONDING TO A CALABI-YAU COMPACTIFICATION

1988 ◽  
Vol 03 (17) ◽  
pp. 1673-1676
Author(s):  
KEI ITO
Keyword(s):  
Field Theory ◽  
String Theory ◽  
Correlation Functions ◽  
Heterotic String ◽  
Heterotic String Theory ◽  
Superconformal Field Theory ◽  
Point Correlation

The four-point correlation functions are calculated in the N=2 superconformal field theory corresponding to a Calabi-Yau compactification of the heterotic string theory.

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