Factorization and regularization by dimensional reduction
نویسندگان
چکیده
منابع مشابه
Factorization and Regularization by Dimensional Reduction
Since an old observation by Beenakker et al, the evaluation of QCD processes in dimensional reduction has repeatedly led to terms that seem to violate the QCD factorization theorem. We reconsider the example of the process gg → tt̄ and show that the factorization problem can be completely resolved. A natural interpretation of the seemingly non-factorizing terms is found, and they are rewritten i...
متن کاملRegularization by Dimensional Reduction: Consistency, Quantum Action Principle, and Supersymmetry
It is proven by explicit construction that regularization by dimensional reduction can be formulated in a mathematically consistent way. In this formulation the quantum action principle is shown to hold. This provides an intuitive and elegant relation between the D-dimensional Lagrangian and Ward or Slavnov-Taylor identities, and it can be used in particular to study to what extent dimensional ...
متن کاملDimensional reduction in numerical relativity: Modified Cartoon formalism and regularization
William G. Cook∗, Pau Figueras∗,†, Markus Kunesch∗, Ulrich Sperhake∗,‡,§ and Saran Tunyasuvunakool∗,† ∗Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA, UK †School of Mathematical Sciences, Queen Mary University of London, Mile End Road, London E1 4NS, UK ‡California Institute of Technology, Pasadena, CA 91125, USA §Department of Physics and ...
متن کاملImplicit Regularization in Matrix Factorization
We study implicit regularization when optimizing an underdetermined quadratic objective over a matrix X with gradient descent on a factorization of X . We conjecture and provide empirical and theoretical evidence that with small enough step sizes and initialization close enough to the origin, gradient descent on a full dimensional factorization converges to the minimum nuclear norm solution.
متن کاملRegularization of Toda lattices by Hamiltonian reduction
The Toda lattice defined by the Hamiltonian H = 12 ∑n i=1 p 2 i + ∑n−1 i=1 νie qi−qi+1 with νi ∈ {±1}, which exhibits singular (blowing up) solutions if some of the νi = −1, can be viewed as the reduced system following from a symmetry reduction of a subsystem of the free particle moving on the group G = SL(n,RI ). The subsystem is T Ge, where Ge = N+AN− consists of the determinant one matrices...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics Letters B
سال: 2005
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2005.08.112