Nonperturbative methods and extended-hadron models in field theory. II. Two-dimensional models and extended hadrons

Dashen, Roger; Hasslacher, Brosl; Neveu, A.

doi:10.1103/physrevd.10.4130

Cited by 532 publications

(565 citation statements)

References 4 publications

Supporting

Mentioning

506

Contrasting

Unclassified

Order By: Relevance

“…carrying topological charges. The quantization of these solutions (both static and time-dependent) requires non-perturbative techniques, developed by Dashen, Hasslacher and Neveu (DHN) in [7] for theories in infinite volume. The DHN method consists, for static backgrounds, in splitting the field φ(x, t) in terms of the classical solution and its quantum fluctuations, i.e.…”

Section: Semiclassical Quantization Of the Broken φ 4 Theory In Finitmentioning

confidence: 99%

“…The non-perturbative semiclassical expansion [7] is known to be an effective method for the quantization of the kink solutions in an infinite volume, independently of the integrability of the model. Its recent extension to finite geometries [8,9] allowed us to derive analytic expressions for the scaling functions of the Sine-Gordon model defined on a cylinder with quasiperiodic b.c.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Kink scaling functions in 2D non-integrable quantum field theories

et al. 2006

View full text Add to dashboard Cite

We determine the semiclassical energy levels for the φ 4 field theory in the broken symmetry phase on a 2D cylindrical geometry with antiperiodic boundary conditions by quantizing the appropriate finite-volume kink solutions. The analytic form of the kink scaling functions for arbitrary size of the system allows us to describe the flow between the twisted sector of c = 1 CFT in the UV region and the massive particles in the IR limit. Kink-creating operators are shown to correspond in the UV limit to disorder fields of the c = 1 CFT. The problem of the finite-volume spectrum for generic 2D Landau-Ginzburg models is also discussed.

show abstract

Section: Semiclassical Quantization Of the Broken φ 4 Theory In Finitmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Kink scaling functions in 2D non-integrable quantum field theories

et al. 2006

View full text Add to dashboard Cite

show abstract

“…Since their introduction in the seminal works [1,2], semiclassical methods have proved to be efficient tools for analysing non-perturbative effects in a large class of quantum field theories. Based on this approach, there have been recently new developments concerning form factors at a finite volume [3], non-integrable models [4] and energy levels of a quantum field theory on a cylinder geometry [5].…”

Section: Introductionmentioning

confidence: 99%

Semiclassical energy levels of sine-Gordon model on a strip with Dirichlet boundary conditions

2005

View full text Add to dashboard Cite

We derive analytic expressions of the semiclassical energy levels of Sine-Gordon model in a strip geometry with Dirichlet boundary condition at both edges. They are obtained by initially selecting the classical backgrounds relative to the vacuum or to the kink sectors, and then solving the Schrödinger equations (of Lamè type) associated to the stability condition. Explicit formulas are presented for the classical solutions of both the vacuum and kink states and for the energy levels at arbitrary values of the size of the system. Their ultraviolet and infrared limits are also discussed.

show abstract

“…we solve the resulting eigenvalue equation to find the frequencies of the bound states [13,12]. Taking the change of variables [6] …”

Section: Static Kinksmentioning

confidence: 99%

Particle transfer in braneworld collisions

Saffin

Tranberg

2007

J. High Energy Phys.

View full text Add to dashboard Cite

We study the behaviour of fermions localized on moving kinks as these collide with either antikinks or spacetime boundaries. We numerically solve for the evolution of the scalar kinks and the bound (i.e. localized) fermion modes, and calculate the number of fermions transfered to the antikink and boundary in terms of Bogoliubov coefficients. Interpreting the boundaries as the brane on which we live, this models the ability of fermions on branes incoming from the bulk to "stick" on the world brane, even when the incoming branes bounce back into the bulk.

show abstract

Nonperturbative methods and extended-hadron models in field theory. II. Two-dimensional models and extended hadrons

Cited by 532 publications

References 4 publications

Kink scaling functions in 2D non-integrable quantum field theories

Kink scaling functions in 2D non-integrable quantum field theories

Semiclassical energy levels of sine-Gordon model on a strip with Dirichlet boundary conditions

Particle transfer in braneworld collisions

Contact Info

Product

Resources

About