scholarly journals Scattering states of plektons (particles with braid group statistics) in 2+1 dimensional quantum field theory

1996 ◽  
Vol 175 (2) ◽  
pp. 319-335 ◽  
Author(s):  
Klaus Fredenhagen ◽  
Matthias R. Gaberdiel ◽  
Stefan M. Rüger
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Braid Group ◽  
Quantum Field ◽  
Scattering States ◽  
Braid Group Statistics

scholarly journals BRAID GROUP STATISTICS IN TWO-DIMENSIONAL QUANTUM FIELD THEORY

1996 ◽  
Vol 08 (07) ◽  
pp. 907-924 ◽  
Author(s):  
C. ADLER
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Braid Group ◽  
Scattering Theory ◽  
Quantum Field ◽  
Two Dimensional ◽  
Algebraic Quantum Field Theory ◽  
Algebraic Quantum ◽  
Dimensional Minkowski Space ◽  
Braid Group Statistics

Within the framework of algebraic quantum field theory, we construct explicitly localized morphisms of a Haag-Kastler net in 1+1-dimensional Minkowski space showing abelian braid group statistics. Moreover, we investigate the scattering theory of the corresponding quantum fields.

scholarly journals From Quantum Field Theory to the Contemporary Quantum Mechanics

2019 ◽  
Vol 2 (4) ◽  
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Mechanics ◽  
Fock Space ◽  
Relativistic Quantum ◽  
Model Space ◽  
Physical Vacuum ◽  
Quantum Field ◽  
Scattering States ◽  
Exact Eigenvalue

In this talk we remind how the notion of the so-called clothed particles, put forward in relativistic quantum field theory by Greenberg and Schweber, can be used via the method of unitary clothing transformations (shortly, the UCT method) when finding the eigenstates of the total Hamiltonian H in case of interacting fields with the Yukawa - type couplings. In general, the UCT method is aimed at reduction of the exact eigenvalue problem in the primary Fock space to the model-space problems in the corresponding Hilbert spaces of the contemporary quantum mechanics. In this context we consider an approximate treatment of the physical vacuum, the observable one-particle and two-particle bound and scattering states.

scholarly journals On some aspects of the definition of scattering states in quantum field theory

Open Physics ◽  
2012 ◽  
Vol 10 (2) ◽  
Author(s):  
Gábor Tóth
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Theoretical Models ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Matrix Elements ◽  
Scattering States ◽  
Adiabatic Switching ◽  
S Matrix ◽  
Definition Of

AbstractThe problem of extending quantum-mechanical formal scattering theory to a more general class of models that also includes quantum field theories is discussed, with the aim of clarifying certain aspects of the definition of scattering states. As the strong limit is not suitable for the definition of scattering states in quantum field theory, some other limiting procedure is needed. Two possibilities are considered, the abelian limit and adiabatic switching. Formulas for the scattering states based on both methods are discussed, and it is found that generally there are significant differences between the two approaches. As an illustration of the applications and the features of these formulas, S-matrix elements and energy corrections in two quantum field theoretical models are calculated using (generalized) old-fashioned perturbation theory. The two methods are found to give equivalent results.

A Review of Conformal Field Theory in 2D

2014 ◽  
Vol 6 (2) ◽  
pp. 1079-1105
Author(s):  
Rahul Nigam
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Conformal Field Theory ◽  
Statistical Mechanics ◽  
Critical Behavior ◽  
Verma Module ◽  
Virasoro Algebra ◽  
Quantum Field ◽  
Conformal Field ◽  
Insight Into

In this review we study the elementary structure of Conformal Field Theory in which is a recipe for further studies of critical behavior of various systems in statistical mechanics and quantum field theory. We briefly review CFT in dimensions which plays a prominent role for example in the well-known duality AdS/CFT in string theory where the CFT lives on the AdS boundary. We also describe the mapping of the theory from the cylinder to a complex plane which will help us gain an insight into the process of radial quantization and radial ordering. Finally we will develop the representation of the Virasoro algebra which is the well-known "Verma module".  

Some remarks on a deformed quantum field theory

2002 ◽  
Author(s):  
Marco Aurelio Do Rego Monteiro ◽  
V. B. Bezerra ◽  
E. M.F. Curado
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Field

Quantum mechanics

2018 ◽  
Author(s):  
Michael Kachelriess
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Mechanics ◽  
Relativistic Quantum ◽  
Transition Amplitude ◽  
External Source ◽  
Quantum Field ◽  
Damping Term ◽  
Relativistic Quantum Theory ◽  
Generating Functional

After a brief review of the operator approach to quantum mechanics, Feynmans path integral, which expresses a transition amplitude as a sum over all paths, is derived. Adding a linear coupling to an external source J and a damping term to the Lagrangian, the ground-state persistence amplitude is obtained. This quantity serves as the generating functional Z[J] for n-point Green functions which are the main target when studying quantum field theory. Then the harmonic oscillator as an example for a one-dimensional quantum field theory is discussed and the reason why a relativistic quantum theory should be based on quantum fields is explained.

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