A bstract We continue the study of one-loop partition function AdS 3 gravity with focus on square-integrability condition fluctuating fields. In a previous work we found that Brown-Henneaux boundary conditions follow directly from L 2 condition. Here rederive as ratio Laplacian determinants by performing suitable decomposition metric fluctuations. pay special attention to asymptotics fields app...

We perturbatively determine O(a) boundary improvement coefficients at 1-loop for the Schrödinger Functional coupling with improved gauge actions. These coefficients are required to implement the 1-loop O(a) improvement in full QCD simulations for the coupling with the improved gauge actions. To this order, lattice artifacts of the step scaling function (SSF) for each improved gauge action are a...

The problem of maintaining gauge invariance when truncating the two particle irreducible (2PI) effective action has been studied recently by several authors. Using a 2PI generalization of the Nielsen identities, we give a simple proof of the invariance of the effective action on-shell at leading order. We consider the case where the gauge is fixed by an arbitrary function of the quantum gauge f...

We study the necessary and sufficient conditions on Abelianizable first class constraints. The necessary condition is derived from topological considerations on the structure of gauge group. The sufficient condition is obtained by applying the theorem of implicit function in calculus and studying the local structure of gauge orbits. Since the sufficient condition is necessary for existence of p...

The new method of nonperturbative calculation of the beta function in the lattice gauge theory is proposed. The method is based on the finite size scaling hypothesis. Monte Carlo simulations of SU(2) lattice gauge theory have shown that there are rather large deviations from asymptotic scaling behaviour in the range of coupling constants accessible with today’s computing power. This raised the ...

We introduce a lattice model with local U(1) gauge symmetry which incorporates explicit frustration in d > 2. The form of the action is inspired from the loop expansion of the fermionic determinant in standard lattice QED. We study through numerical simulations the phase diagram of the model, revealing the existence of a frustrated (antiferromagnetic) phase for d = 3 and d = 4, once an appropri...

The search for quartic anomalous gauge couplings (QAGC) at LEP requires appropriate predictions for the radiative processes e+e− → νν̄γγ, e+e− → qq̄γγ and e+e− → 4 fermions+γ. The current knowledge on dimension-six operators giving rise to QAGC is briefly reviewed, together with their implementation in event generators. The accuracy of calculations based on real approximations (used up to now for...

Dijkgraaf and Vafa have conjectured that the effective superpotentials for N = 1 four-dimensional supersymmetric gauge theories can be given by the planar diagrams of matrix models. We examine some special models with cubic and quartic tree level superpotentials for adjoint chiral superfield Φ. We consider the effective superpotentials for the classical vacuum Φ = 0 for U(N) and SO(N)/Sp(N) gau...