The Brownian loop measure is a conformally invariant measure on loops that also satisfies the restriction property. In studying the Schramm-Loewner evolution (SLE), a quantity that arises is the measure of loops in a domain D that intersect both V1 and V2. If V1, V2 are nonpolar, and D = C this measure is infinite. We show the existence of a finite normalized quantity that can be used in its pl...

We derive a new form of loop equations for light-like Wilson loops. In bosonic theories those loop equations close only for straight lightlike Wilson lines. In the case of N = 1 in ten dimensions they close for any light-like Wilson loop. Upon dimensional reduction to N = 4 SYM in four dimensions, these loops become exactly the chiral loops which can be evaluated semiclassically, in the strong ...

This paper first examines and corrects Storer’s theory of circular loop antennas, then investigates theoretically the proposed Ω-shaped loop-dipole antenna. Special emphasis is given to analysis effect higher-order terms Fourier series as a remainder on current distribution, input impedance, radiation patterns thin-wire It found that must be included in calculation distribution impedance but ca...

In the paper hep-th/0504039, it was conjectured that in the context of the AdS/CFT correspondence, the 1/2-BPS point-like Wilson loop in the N = 4 SYM theory is mapped to the vacuum state of the dual IIB string theory on the pp wave background and the functional derivatives of the Wilson loop are mapped to the excited string states. Motivated by this conjecture, we consider the small deformatio...

Two-loop effective potential in quantum field theory in curved space-time. ABSTRACT 1) temporal postal address; The method of the calculation of effective potential (in linear curvature approximation and at any loop) in massless gauge theory in curved space-time by the direct solution of renormalization group equation is given. The closed expression for two-loop effective potential is obtained....