Results 21 to 30 of about 198,877 (319)

Analytic continuation of dimensions in supersymmetric localization

Journal of High Energy Physics, 2018
We compute the perturbative partition functions for gauge theories with eight supersymmetries on spheres of dimension d ≤ 5, proving a conjecture by the second author. We apply similar methods to gauge theories with four supersymmetries on spheres with d
Anastasios Gorantis, Joseph A. Minahan, Usman Naseer   +2 more
doaj   +1 more source

A fractional Landweber iterative regularization method for stable analytic continuation

AIMS Mathematics, 2021
In this paper, we consider the problem of analytic continuation of the analytic function $g(z)=g(x+iy)$ on a strip domain Ω=$\{z=x+iy\in \mathbb{C}|\,x\in\mathbb{R},0< y < y_0\}$, where the data is given only on the line $y=0$.
Fan Yang, Qianchao Wang, Xiaoxiao Li
doaj   +1 more source

Analytic continuation and perturbative expansions in QCD [PDF]

, 2001
Starting from the divergence pattern of perturbative quantum chromodynamics, we propose a novel, non-power series replacing the standard expansion in powers of the renormalized coupling constant $a$.
Caprini, Irinel, Fischer, Jan
core   +2 more sources

The Lerch Zeta Function II. Analytic Continuation [PDF]

, 2010
This is the second of four papers that study algebraic and analytic structures associated with the Lerch zeta function. In this paper we analytically continue it as a function of three complex variables.
Apostol T. M., Barnes E. W., Berndt B., Hurwitz A., Lipschitz M., Lipschitz M., Mikolas M., Oberhettinger E.   +7 more
core   +1 more source

Comment to the CPT-symmetric Universe: Two possible extensions

, 2019
In Ref.1 (L. Boyle, K. Finn and N. Turok, CPT-Symmetric Universe, Phys. Rev. Lett. {\bf 121}, 251301 (2018)) the antispacetime Universe was suggested as the analytic continuation of our Universe across the Big Bang singularity in conformal time.
Volovik, G. E.
core   +1 more source

Janus interface in two-dimensional supersymmetric gauge theories

Journal of High Energy Physics, 2019
We study the Janus interface, a domain wall characterized by spatially varying couplings, in two-dimensional N $$ \mathcal{N} $$ = (2, 2) supersymmetric gauge theories on the two-sphere.
Kanato Goto, Takuya Okuda
doaj   +1 more source

Analytic continuation of multiple polylogarithms

, 2003
In this paper we shall define the analytic continuation of the multiple polylogarithms by using Chen's theory of iterated path integrals and compute the monodromy of all multiple logarithms explicitly.Comment: 16 pages, a sign error ...
Zhao, Jianqiang
core   +3 more sources

Analytic Continuation of the Hurwitz Transform

Mathematics
An integral over the unit interval of the product of a given function and the Hurwitz zeta function is known as the Hurwitz transform of the function. We give sufficient conditions on the function for the Hurwitz transform to continue meromorphically to ...
Namhoon Kim
doaj   +1 more source

Open strings on the Rindler horizon

Journal of High Energy Physics, 2019
It has been proposed that a certain ℤ N orbifold, analytically continued in N, can be used to describe the thermodynamics of Rindler space in string theory. In this paper, we attempt to implement this idea for the open-string sector. The most interesting
Edward Witten
doaj   +1 more source

Quantum creation of traversable wormholes ex nihilo in Gauss–Bonnet-dilaton gravity

European Physical Journal C: Particles and Fields, 2019
We investigate a nucleation of a Euclidean wormhole and its analytic continuation to Lorentzian signatures in Gauss–Bonnet-dilaton gravity, where this model can be embedded by the type-II superstring theory. We show that there exists a Euclidean wormhole
Gansukh Tumurtushaa, Dong-han Yeom
doaj   +1 more source