منابع مشابه
Local scale invariance, conformal invariance and dynamical scaling
Building on an analogy with conformal invariance, local scale transformations consistent with dynamical scaling are constructed. Two types of local scale invariance are found which act as dynamical space-time symmetries of certain non-local free field theories. Physical applications include uniaxial Lifshitz points and ageing in simple ferromagnets. Scale invariance is a central notion of moder...
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We study the implications of scale invariance in four-dimensional quantum field theories. Imposing unitarity, we find that infinitely many matrix elements vanish in a suitable kinematical configuration. This vanishing is a nontrivial necessary condition for conformality. We provide an argument why this is expected to be a sufficient condition as well, thereby linking scale and conformal invaria...
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We present a conformal theory for intermittent scalar fields. As an example, we consider the energy flux from large to small scales in the developed turbulent flow. The conformal correlation functions are found in the inertial range of scales. In the simplest case, the theory leads to the log-normal model. Parameters of the model are expressed via integrals of the conformal correlation function...
متن کاملChiral scale and conformal invariance in 2D quantum field theory.
It is well known that a local, unitary Poincaré-invariant 2D quantum field theory with a global scaling symmetry and a discrete non-negative spectrum of scaling dimensions necessarily has both a left and a right local conformal symmetry. In this Letter, we consider a chiral situation beginning with only a left global scaling symmetry and do not assume Lorentz invariance. We find that a left con...
متن کاملConformal Invariance and Integrable Theories
Integrable theories on the lattice having zero energy gap exhibit conformal invariance for long distances. It is shown here how to extract its conformal properties (central charge e and scaling dimensions) from the Bethe ansatz equations. The methods here exposed are applied to the six-vertex model and to the critical Potts model.
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2014
ISSN: 1029-8479
DOI: 10.1007/jhep08(2014)027