Form factor perturbation theory from finite volume - High Energy Physics - TheoryReport as inadecuate




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Abstract: Using a regularization by putting the system in finite volume, we develop anovel approach to form factor perturbation theory for nonintegrable modelsdescribed as perturbations of integrable ones. This permits to go beyond firstorder 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 thevacuum energy density and breather mass correction is evaluated at secondorder. The results agree with those obtained from the truncated conformal spaceapproach. The regularization procedure can also be used to compute otherspectral sums involving disconnected pieces of form factors such as those thatoccur e.g. in finite temperature correlators.



Author: G. Takacs

Source: https://arxiv.org/



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