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The occurrence and the distribution of patterns of trees associated to natural numbers are investigated. Bounds from above and below are proven for certain natural quantities.

数论 · 数学 2024-01-09 Roberto Conti , Pierluigi Contucci , Vitalii Iudelevich

We show that the one-loop effective action at finite temperature for a scalar field with quartic interaction has the same renormalized expression as at zero temperature if written in terms of a certain classical field $\phi_c$, and if we…

高能物理 - 唯象学 · 物理学 2014-11-21 A. Bessa , F. T. Brandt , C. A. A. de Carvalho , E. S. Fraga

We use the AdS/CFT correspondence to calculate CFT correlation functions of vector and spinor fields. The connection between the AdS and boundary fields is properly treated via a Dirichlet boundary value problem.

高能物理 - 理论 · 物理学 2008-11-26 W. Mück , K. S. Viswanathan

We reconstruct boundary superstring field theory via boundary states. After a minor modification of the fermionic two-form, all the equations needed for Batalin-Vilkovisky formulation are simply represented by closed string oscillators and…

高能物理 - 理论 · 物理学 2009-12-04 Akira Ishida , Shunsuke Teraguchi

GSO projected Superconformal field theory (Spin Model) with boundary is considered. There were written the boundary states. For this model were derived one-point structure constants and "bootstrap" equations for boundary-bulk structure…

高能物理 - 理论 · 物理学 2009-02-23 S. A. Apikyan , D. A. Sahakyan

We compute the partition function for the $N=1$ spinning particle, including pictures and the large Hilbert space, and show that it counts the dimension of the BRST cohomology in two- and four-dimensional target space. We also construct a…

高能物理 - 理论 · 物理学 2025-04-07 Eugenia Boffo , Pietro Antonio Grassi , Ondřej Hulík , Ivo Sachs

We study the holographic dual of the simplest notion of spin in a $p$-adic field theory, namely Green's functions which involve non-trivial sign characters over the $p$-adic numbers. In order to recover these sign characters from bulk…

高能物理 - 理论 · 物理学 2019-05-22 Steven S. Gubser , Christian Jepsen , Brian Trundy

Computing the partition function and the marginals of a global probability distribution are two important issues in any probabilistic inference problem. In a previous work, we presented sub-tree based upper and lower bounds on the partition…

应用统计 · 统计学 2011-03-03 Mehdi Molkaraie , Payam Pakzad

Working in the p-adic analog of the complex numbers, we'll define a line integral on a small arc of a circle. This allows new versions of the Residue Theorem, the Cauchy-Goursat Theorem on discs with and without holes, Cauchy's Integral…

数论 · 数学 2016-06-17 Jack Diamond

The aim of this note is to describe the Poisson boundary of the group of invertible triangular matrices with coefficients in a number field. It generalizes to any dimension and to any number field a result of Brofferio concerning the…

概率论 · 数学 2008-09-19 Bruno Schapira

In this sequel to [1], we take up a second approach in bending the Bruhat-Tits tree. Inspired by the BTZ black hole connection, we demonstrate that one can transplant it to the Bruhat-Tits tree, at the cost of defining a novel "exponential…

高能物理 - 理论 · 物理学 2021-10-04 Lin Chen , Xirong Liu , Ling-Yan Hung

We demonstrate the generation of the CPT-even, aether-like Lorentz-breaking actions for the scalar and electromagnetic fields via their appropriate Lorentz-breaking coupling to spinor fields in three, four and five space-time dimensions.…

高能物理 - 理论 · 物理学 2013-05-29 M. Gomes , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

Within the scope of a spherically symmetric space-time we study the role of a nonlinear spinor field in the formation of different configurations with spherical symmetries. The presence of the non-diagonal components of energy-momentum…

广义相对论与量子宇宙学 · 物理学 2018-12-31 Bijan Saha

We consider a countable tree $T$, possibly having vertices with infinite degree, and an arbitrary stochastic nearest neighbour transition operator $P$. We provide a boundary integral representation for general eigenfunctions of $P$ with…

泛函分析 · 数学 2022-06-10 Massimo A. Picardello , Wolfgang Woess

In the framework of simplicial models, we construct and we fully characterize a scalar boundary conformal field theory on a triangulated Riemann surface. The results are analysed from a string theory perspective as tools to deal with…

高能物理 - 理论 · 物理学 2007-11-01 Valeria L. Gili , Mauro Carfora , Claudio Dappiaggi

In a recent paper Klebanov and Witten (hep-th/9905104) proposed to formulate the AdS/CFT correspondence principle by taking an "irregular boundary condition" for a scalar field. In this paper we generalize this idea to the case of spinor…

高能物理 - 理论 · 物理学 2009-10-31 R. C. Rashkov

An action for a prospect of a $p$-adic open superstring on a target Minkowski space is proposed. The action is constructed for `worldsheet' fields taking values in the $p$-adic field $\mathbb{Q}_p$, but it is assumed to be obtained from a…

高能物理 - 理论 · 物理学 2022-09-07 Hugo Garcia-Compean , Edgar Y. Lopez

The normalization of the boundary superstring field theory action is determined by computing the near on-shell amplitude involving three gauge fields.

高能物理 - 理论 · 物理学 2007-05-23 Debashis Ghoshal

Starting from an extension of the Poisson bracket structure and Kubo-Martin-Schwinger-property of classical statistical mechanics of continuous systems to spin systems, defined on a lattice, we derive a series of, as we think, new and…

高能物理 - 理论 · 物理学 2007-05-23 Requardt M

Consider an asymptotically Euclidean initial data set with a smooth marginally trapped surface (possibly a union of future and past multi-connected components) as inner boundary. By a further development of the spinorial framework…

广义相对论与量子宇宙学 · 物理学 2020-09-02 Yun-Kau Lau