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Related papers: Universal regularization for string field theory

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We revisit the question whether the worldsheet theory of a string admits a global O(d,d) symmetry. We consider the truncation of the target space theory in which fields are independent of d coordinates, which is O(d,d,R) invariant. The…

High Energy Physics - Theory · Physics 2020-12-30 Roberto Bonezzi , Felipe Diaz-Jaramillo , Olaf Hohm

The prescription of Kawai, Lewellen and Tye for writing the closed string tree amplitudes as sums of products of open string tree amplitudes, is applied to the world sheet renormalization group equation. The main point is that…

High Energy Physics - Theory · Physics 2009-11-10 B. Sathiapalan

All the models of elementary particles and their interactions derived from String Theory involve a compact six-dimensional internal space. Its volume and shape should be fixed or stabilized, since otherwise massless scalar fields (moduli)…

High Energy Physics - Theory · Physics 2015-06-23 Noriaki Kitazawa

We describe a method for obtaining analytic solutions corresponding to exact marginal deformations in open bosonic string field theory. For the photon marginal deformation we have an explicit analytic solution to all orders. Our…

High Energy Physics - Theory · Physics 2008-11-26 Ehud Fuchs , Michael Kroyter , Robertus Potting

We look for a connection between string theories and Grand Unified Theories (GUTs), with the aim to look for new insights in the existing four dimensional string-GUT problems. We argue that the construction of consistent string-GUT models…

High Energy Physics - Phenomenology · Physics 2010-12-17 Abdel Pérez-Lorenzana , William A. Ponce

We argue that deriving an effective field theory from string theory requires a Wilsonian perspective with a physical cutoff. Employing proper time regularization we demonstrate the decoupling of states and contrast this with what happens in…

High Energy Physics - Theory · Physics 2021-03-25 S. P. de Alwis

In this paper, a way of generalizing the tensor renormalization group(TRG) is proposed. Mathematically, the connection between patterns of tensor renormalization group and the concept of truncation sequence in polytope geometry is…

Statistical Mechanics · Physics 2017-06-12 Peiyuan Teng

We consider, in a string theory framework, physical processes of phenomenological interest in models with a low string scale. The amplitudes we study involve tree-level virtual gravitational exchange, divergent in a field-theoretical…

High Energy Physics - Theory · Physics 2011-07-19 E. Dudas , J. Mourad

We reconsider here the problem of finding the general 4D spherically symmetric, asymptotically flat and time-independent solutions to the lowest-order string equations in the $\ap$ expansion. Our construction includes earlier work, but…

High Energy Physics - Theory · Physics 2010-11-19 C. P. Burgess , R. C. Myers , F. Quevedo

This paper presents a regularized Newton method (RNM) with generalized regularization terms for unconstrained convex optimization problems. The generalized regularization includes quadratic, cubic, and elastic net regularizations as special…

Optimization and Control · Mathematics 2024-07-11 Yuya Yamakawa , Nobuo Yamashita

We define the universal exponential extension of an algebraically closed differential field and investigate its properties in the presence of a nice valuation and in connection with linear differential equations. Next we prove normalization…

Commutative Algebra · Mathematics 2026-04-28 Matthias Aschenbrenner , Lou van den Dries , Joris van der Hoeven

We evaluate vacuum energy density of Schnabl's solution using the level truncation calculation and the total action including interaction terms. The level truncated solution provides vacuum energy density expected both for tachyon vacuum…

High Energy Physics - Theory · Physics 2009-05-20 Tomohiko Takahashi

Regular sequences are natural generalisations of fixed points of constant-length substitutions on finite alphabets, that is, of automatic sequences. Using the harmonic analysis of measures associated with substitutions as motivation, we…

Number Theory · Mathematics 2021-08-12 Michael Coons , James Evans , Neil Manibo

Extensions (modifications) of the Heisenberg Uncertainty principle are derived within the framework of the theory of Special Scale-Relativity proposed by Nottale. In particular, generalizations of the Stringy Uncertainty Principle are…

High Energy Physics - Theory · Physics 2008-02-03 Carlos Castro

We describe a class of supersymmetric unified models with the following properties: i) the full breaking of the gauge group is achieved by Higgs fields in the fundamental representation; ii) the correct unification of the strong and…

High Energy Physics - Phenomenology · Physics 2016-09-01 R. Barbieri , G. Dvali , A. Strumia

We propose the use of lattice field theory for the study of string field theory at the non-perturbative quantum level. We identify many potential obstacles and examine possible resolutions thereof. We then experiment with our approach in…

High Energy Physics - Theory · Physics 2014-10-22 Francis Bursa , Michael Kroyter

We analyze the problem of global reconstruction of functions as accurately as possible, based on partial information in the form of a truncated power series at some point, and additional analyticity properties. This situation occurs…

Complex Variables · Mathematics 2022-05-30 Ovidiu Costin , Gerald V. Dunne

New reparametrisation invariant field equations are constructed which describe $d$-brane models in a space of $d+1$ dimensions. These equations, like the recently discovered scalar field equations in $d+1$ dimensions, are universal, in the…

High Energy Physics - Theory · Physics 2009-10-22 D. B. Fairlie , J. Govaerts

The role of cut-off and dimensional regularizations is discussed in the context of obtaining a renormalized nucleon-nucleon potential from the chiral Lagrangian formulation of the effective field theory due to Weinberg. Both types of…

Nuclear Theory · Physics 2007-05-23 Sadhan K. Adhikari

We consider N=1 supersymmetric U(N), SO(N), and Sp(N) gauge theories, with two-index tensor matter and added tree-level superpotential, for general breaking patterns of the gauge group. By considering the string theory realization and…

High Energy Physics - Theory · Physics 2008-11-26 Ken Intriligator , Per Kraus , Anton V. Ryzhov , Masaki Shigemori , Cumrun Vafa