Form factor perturbation theory from finite volume
arXiv:0907.2109 · doi:10.1016/j.nuclphysb.2009.10.001
Abstract
Using a regularization by putting the system in finite volume, we develop a novel approach to form factor perturbation theory for nonintegrable models described as perturbations of integrable ones. This permits to go beyond first order in form factor perturbation theory and in principle works to any order. The procedure is carried out in detail for double sine-Gordon theory, where the vacuum energy density and breather mass correction is evaluated at second order. The results agree with those obtained from the truncated conformal space approach. The regularization procedure can also be used to compute other spectral sums involving disconnected pieces of form factors such as those that occur e.g. in finite temperature correlators.
14 pages, no figures, LaTeX2e file, v2: typos corrected, references and discussion of further details added
References in corpus (16)
- Exact expectation values of local fields in quantum sine-Gordon model
- Non-integrable Quantum Field Theories as Perturbations of Certain Integrable Models
- Non-integrable aspects of the multi-frequency Sine-Gordon model
- On the Operator Content of the Sinh-Gordon Model
- Form factors in finite volume II:disconnected terms and finite temperature correlators
- Form factors in finite volume I: form factor bootstrap and truncated conformal space
- Form-factors of exponential fields in the sine-Gordon model
- Critical properties of the double-frequency sine-Gordon model with applications
- Truncated Conformal Space at c=1, Nonlinear Integral Equation and Quantization Rules for Multi-Soliton States
- A Numerical Renormalization Group for Continuum One-Dimensional Systems
- Decay of particles above threshold in the Ising field theory with magnetic field
- Nonperturbative study of the two-frequency sine-Gordon model
- Semiclassical Particle Spectrum of Double Sine-Gordon Model
- Characterization of resonances using finite size effects
- Double sine-Gordon model revisited
- A Renormalisation group for TCSA
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- Diagonal multi-soliton matrix elements in finite volume
- Sine-Gordon multi-soliton form factors in finite volume
- Quantum sine-Gordon dynamics in coupled spin chains
- One-point functions in finite volume/temperature: a case study
- Branch Point Twist Field Form Factors in the sine-Gordon Model I: Breather Fusion and Entanglement Dynamics
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