scholarly journals FINITE SIZE EFFECTS IN INTEGRABLE QUANTUM FIELD THEORIES

2001 ◽  
Author(s):  
FRANCESCO RAVANINI
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Finite Size Effects ◽  
Integrable Quantum

scholarly journals SEMICLASSICAL METHODS IN 2D QFT: SPECTRA AND FINITE-SIZE EFFECTS

2006 ◽  
Vol 21 (28) ◽  
pp. 2099-2115 ◽  
Author(s):  
VALENTINA RIVA
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Large Mass ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Finite Size Effects ◽  
Small Coupling ◽  
Semiclassical Methods ◽  
Semiclassical Expansion

We review some recent results obtained in the analysis of two-dimensional quantum field theories by means of semiclassical techniques, which generalize methods introduced during the '70s by Dashen, Hasllacher and Neveu and by Goldstone and Jackiw. The approach is best suited to deal with quantum field theories characterized by a nonlinear interaction potential with different degenerate minima, that generates kink excitations of large mass in the small coupling regime. Under these circumstances, although the results obtained are based on a small coupling assumption, they are nevertheless nonperturbative, since the kink backgrounds around which the semiclassical expansion is performed are nonperturbative too. We will discuss the efficacy of the semiclassical method as a tool to control analytically spectrum and finite-size effects in these theories.

scholarly journals Finite size effects in quantum field theories with boundary from scattering data

2005 ◽  
Vol 716 (3) ◽  
pp. 519-542 ◽  
Author(s):  
Z. Bajnok ◽  
L. Palla ◽  
G. Takács
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Field Theories ◽  
Scattering Data ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Finite Size Effects

scholarly journals QUANTUM INTEGRABILITY OF COUPLED N=1 SUPER SINE/SINH–GORDON THEORIES AND THE LIE SUPERALGEBRA D(2,1;α)

1999 ◽  
Vol 14 (16) ◽  
pp. 2551-2580 ◽  
Author(s):  
JONATHAN M. EVANS ◽  
JENS OLE MADSEN
Keyword(s):  
Quantum Theory ◽  
Lie Superalgebra ◽  
Field Theories ◽  
Continuous Family ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Classical Level ◽  
Quantum Integrability ◽  
Integrable Quantum ◽  
Conserved Currents

We discuss certain integrable quantum field theories in 1+1 dimensions consisting of coupled sine/sinh–Gordon theories with N=1 supersymmetry, positive kinetic energy, and bosonic potentials which are bounded from below. We show that theories of this type can be constructed as Toda models based on the exceptional affine Lie superalgebra D(2,1;α)(1) (or on related algebras which can be obtained as various limits) provided one adopts appropriate reality conditions for the fields. In particular, there is a continuous family of such models in which the couplings and mass ratios all depend on the parameter α. The structure of these models is analyzed in some detail at the classical level, including the construction of conserved currents with spins up to 4. We then show that these currents generalize to the quantum theory, thus demonstrating quantum-integrability of the models.

Integrable Quantum Field Theories

2020 ◽  
pp. 575-621
Author(s):  
Giuseppe Mussardo
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Two Dimensional ◽  
Conformal Theory ◽  
Integrable Quantum ◽  
Set Up ◽  
Integrable Quantum Field Theory

Chapter 16 covers the general properties of the integrable quantum field theories, including how an integrable quantum field theory is characterized by an infinite number of conserved charges. These theories are illustrated by means of significant examples, such as the Sine–Gordon model or the Toda field theories based on the simple roots of a Lie algebra. For the deformations of a conformal theory, it shown how to set up an efficient counting algorithm to prove the integrability of the corresponding model. The chapter focuses on two-dimensional models, and uses the term ‘two-dimensional’ to denote both a generic two-dimensional quantum field theory as well as its Euclidean version.

scholarly journals Integrable quantum field theories with supergroup symmetries: the OSP(1/2) case

2003 ◽  
Vol 663 (3) ◽  
pp. 443-466 ◽  
Author(s):  
Hubert Saleur ◽  
Birgit Wehefritz-Kaufmann
Keyword(s):  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Integrable Quantum

scholarly journals Log-periodic behavior of finite size effects in field theories with RG limit cycles

2004 ◽  
Vol 700 (1-3) ◽  
pp. 407-435 ◽  
Author(s):  
André LeClair ◽  
José María Román ◽  
Germán Sierra
Keyword(s):  
Limit Cycles ◽  
Size Effects ◽  
Finite Size ◽  
Field Theories ◽  
Finite Size Effects ◽  
Periodic Behavior
Sign in / Sign up

Export Citation Format

Share Document