Results 61 to 70 of about 35,501 (212)
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
On ambiguities and divergences in perturbative renormalization group functions
Journal of High Energy Physics, 2021 There is an ambiguity in choosing field-strength renormalization factors in the MS ¯ $$ \overline{\mathrm{MS}} $$ scheme starting from the 3-loop order in perturbation theory.
Florian Herren, Anders Eller Thomsen
doaj +1 more source
Regularization Dependence of Running Couplings in Softly Broken Supersymmetry
, 2008 We discuss the dependence of running couplings on the choice of regularization method in a general softly-broken N=1 supersymmetric theory. Regularization by dimensional reduction respects supersymmetry, but standard dimensional regularization does not ...
't Hooft +28 more
core +1 more source
Contributions to Plasma Physics, EarlyView.ABSTRACT The properties of plasmas in the low‐density limit are described by virial expansions. Analytical expressions are known for the lowest virial coefficients from Green's function approaches. Recently, accurate path‐integral Monte Carlo (PIMC) simulations were performed for the hydrogen plasma at low densities by Filinov and Bonitz (Phys. Rev.
Gerd Röpke +3 more
wiley +1 more source
A note on defect stability in d = 4 − ε
Journal of High Energy PhysicsWe explore the space of scalar line, surface and interface defect field theories in d = 4 − ε by examining their stability properties under generic deformations.
William H. Pannell
doaj +1 more source
Dimensional regularization and the renormalization group [PDF]
Nuclear Physics B, 1973 Abstract The behaviour of a renormalized field theory under scale transformations x → λx; p → p/λ can be found in a simple way when the theory is regularized by the continuous dimension method. The techniques proposed here have several applications in dimensionally regularized theories: short distance behaviour is expressed in terms of the single ...
openaire +2 more sources
, 2014 We study the radial Schr\"{o}dinger equation for a particle of mass $m$ in the field of the inverse-square potential $\alpha/r^{2}$ in the medium-weak-coupling region, i.e., with $-1/4\leq2m\alpha/\hbar^{2}\leq3/4$. By using the renormalization method of
Bawin, Michel, Bouaziz, Djamil
core +1 more source
Effects of Self-Avoidance on the Tubular Phase of Anisotropic Membranes [PDF]
, 1997 We study the tubular phase of self-avoiding anisotropic membranes. We discuss the renormalizability of the model Hamiltonian describing this phase and derive from a renormalization group equation some general scaling relations for the exponents of the ...
B. Duplantier +15 more
core +4 more sources
Computing Skinning Weights via Convex Duality
Computer Graphics Forum, EarlyView.We present an alternate optimization method to compute bounded biharmonic skinning weights. Our method relies on a dual formulation, which can be optimized with a nonnegative linear least squares setup. Abstract We study the problem of optimising for skinning weights through the lens of convex duality.
J. Solomon, O. Stein
wiley +1 more source
Gradient flows and the curvature of theory space
Journal of High Energy PhysicsThe metric and potential associated with the gradient property of renormalisation group flow in multiscalar models in d = 4 − ε dimensions are studied. The metric is identified with the Zamolodchikov metric of nearly marginal operators on the sphere.
William H. Pannell, Andreas Stergiou
doaj +1 more source