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Graphs on surfaces is an active topic of pure mathematics belonging to graph theory. It has also been applied to physics and relates discrete and continuous mathematics. In this paper we present a formal mathematical description of the…

Mathematical Physics · Physics 2008-04-21 J. Manuel Garcia-Islas

We discuss three closely related questions; i)~Given a conformal field theory, how may we deform it? ii)~What are the symmetries of string theory? and iii)~Does string theory have free parameters? We show that there is a distinct…

High Energy Physics - Theory · Physics 2009-10-02 Mark Evans , Ioannis Giannakis

We develop a procedure that reorganizes the perturbative expansion in a class of quantum field theories into a stringy amplitude expressed as a sum over two-dimensional geometries. Using Schwinger parametrization and the one-to-one…

High Energy Physics - Theory · Physics 2025-12-10 Guim Planella Planas

We recently proposed a chameleonic solution to the cosmological constant problem - Phys. Rev. D82 (2010) 044006. We further elaborate on our proposal discussing also some new results. The basic ingredients of the model are A) a chameleonic…

High Energy Physics - Theory · Physics 2012-06-22 Andrea Zanzi

These lectures present some topics of string phenomenology and contain two parts. In the first part, I review the possibility of lowering the string scale in the TeV region, that provides a theoretical framework for solving the mass…

High Energy Physics - Theory · Physics 2007-11-08 I. Antoniadis

Unconstrained local Lagrangians for higher-spin gauge theories are bound to involve auxiliary fields, whose integration in the partition function generates geometric, effective actions expressed in terms of curvatures. When applied to the…

High Energy Physics - Theory · Physics 2014-11-20 Dario Francia

We consider a class of conformal models describing closed strings in axially symmetric stationary magnetic flux tube backgrounds. These models are closed string analogs of the Landau model of a particle in a magnetic field or the model of…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Tseytlin

A relativistic quantized particle model avoids difficulties through (1) a Hamiltonian undecomposable into H=H(0)+H(I), (2) a separation of the evolution parameter s from dynamics, (3) "leptons" and "hadrons" composed of "quarks," and (4)…

High Energy Physics - Theory · Physics 2007-05-23 Marcia J. King

We discretize the Weyl equation for a massless, spin-1/2 particle on a time-diagonal, hypercubic spacetime lattice with null faces. The amplitude for a step of right-handed chirality is proportional to the spin projection operator in the…

Quantum Physics · Physics 2016-12-21 Brendan Z. Foster , Ted Jacobson

Simple homogeneous shear flows of frictionless, deformable particles are studied by particle simulations at large shear rates and for differently soft, deformable particles. The particle stiffness sets a time-scale that can be used to scale…

Soft Condensed Matter · Physics 2024-07-25 Dalila Vescovi , Stefan Luding

We consider a spin-s Heisenberg model coupled to two-dimensional quantum gravity. We quantize the model using the Feynman path integral, summing over all possible two-dimensional geometries and spin configurations. We regularize this path…

High Energy Physics - Theory · Physics 2015-07-15 J. Ambjorn , Sh. Khachatryan , A. Sedrakyan

We study confining strings in massive adjoint two-dimensional chromodynamics. Off-shell, as a consequence of zigzag formation, the resulting worldsheet theory provides a non-trivial dynamical realization of infinite quon statistics. Taking…

High Energy Physics - Theory · Physics 2020-11-03 John C. Donahue , Sergei Dubovsky

We propose discrete random-field models that are based on random partitions of $\mathbb{N}^2$. The covariance structure of each random field is determined by the underlying random partition. Functional central limit theorems are established…

Probability · Mathematics 2018-02-13 Olivier Durieu , Yizao Wang

We review the basics of the dynamics of closed strings moving along the discretized line \Z. The string excitations are described by a field \phi_x(\tau) where x is the position of the string in the embedding space and \tau is a…

High Energy Physics - Theory · Physics 2007-05-23 Ivan K. Kostov

We examine a model of non-self-avoiding, fluctuating surfaces as a candidate continuum string theory of surfaces in three dimensions. This model describes Dynamically Triangulated Random Surfaces embedded in three dimensions with an…

High Energy Physics - Theory · Physics 2007-05-23 Mark Bowick , Paul Coddington , Leping Han , Geoff Harris , Enzo Marinari

This thesis describes an attempt to write down covariant actions for coincident D-branes using so-called boundary fermions instead of matrices to describe the non-abelian fields. These fermions can be thought of as Chan-Paton degrees of…

High Energy Physics - Theory · Physics 2007-05-23 Linus Wulff

We explore the possibility that our universe's current accelerated expansion is explained by a quintessence model with an exponential scalar potential, $V =V_0\, e^{-\lambda\, \phi}$, keeping an eye towards $\lambda \geq \sqrt{2}$ and an…

High Energy Physics - Theory · Physics 2024-08-21 David Andriot , Susha Parameswaran , Dimitrios Tsimpis , Timm Wrase , Ivonne Zavala

It is shown how a string living in a higher dimensional space can be approximated as a point particle with squared extrinsic curvature. We consider a generalized Howe-Tucker action for such a "rigid particle" and consider its classical…

High Energy Physics - Theory · Physics 2015-07-21 Matej Pavšič

A simple quantum mechanical model consisting of a discrete level resonantly coupled to a continuum of finite width, where the coupling can be varied from perturbative to strong (Fano-Anderson model), is considered. The particle is initially…

Quantum Physics · Physics 2019-02-19 E. Kogan

String theory and supersymmetry are theoretical ideas that go beyond the standard model of particle physics and show promise for unifying all forces. After a brief introduction to supersymmetry, we discuss the prospects for its experimental…

High Energy Physics - Theory · Physics 2008-11-26 John H. Schwarz , Nathan Seiberg