Renormalisation group, function iterations and computer algebra
نویسندگان
چکیده
منابع مشابه
Universality and the renormalisation group
Several functional renormalisation group (RG) equations including Polchinski flows and Exact RG flows are compared from a conceptual point of view and in given truncations. Similarities and differences are highlighted with special emphasis on stability properties. The main observations are worked out at the example of O(N) symmetric scalar field theories where the flows, universal critical expo...
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From the Wilsonian point of view, renormalisable theories are understood as submanifolds in theory space emanating from a particular fixed point under renormalisation group evolution. We show how this picture precisely applies to their gravity duals. We investigate the Hamilton-Jacobi equation satisfied by the Wilson action and find the corresponding fixed points and their eigendeformations, wh...
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We investigate the basic features of the gluon density predicted by a renormalisation group improved small-x equation which incorporates both the gluon splitting function at leading collinear level and the exact BFKL kernel at next-to-leading level. We provide resummed results for the Green's function and its hard Pomeron exponent ω s (α s), and for the splitting function and its critical expon...
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We study different renormalisation group flows for scale dependent effective actions, including exact and proper-time renormalisation group flows. These flows have a simple one loop structure. They differ in their dependence on the full field-dependent propagator, which is linear for exact flows. We investigate the inherent approximations of flows with a non-linear dependence on the propagator....
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Einstein’s theory of general relativity is the remarkably successful classical theory of the gravitational force, characterised by Newton’s coupling constant GN = 6.67×10−11m3/(kg s) and a small cosmological constant Λ. Experimentally, its validity has been confirmed over many orders of magnitude in length scales ranging from the sub-millimeter regime up to solar system size. At larger length s...
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 1990
ISSN: 0747-7171
DOI: 10.1016/s0747-7171(08)80007-7