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The FitzHugh-Nagumo equation, originally conceived in neuroscience during the 1960s, became a key model providing a simplified view of excitable neuron cell behavior. Its applicability, however, extends beyond neuroscience into fields like…

Pattern Formation and Solitons · Physics 2025-01-08 Daniel Cebrián-Lacasa , Pedro Parra-Rivas , Daniel Ruiz-Reynés , Lendert Gelens

This text, written as dissertation within the M.Sc. course in particle theory at the Centre for Particle Theory, University of Durham, during the academic year 1993/94, reviews two articles by D.Gross and by D.Gross and W.Taylor which…

High Energy Physics - Theory · Physics 2016-08-15 Søren Köster

Superunification underwent a major paradigm shift in 1984 when eleven-dimensional supergravity was knocked off its pedestal by ten-dimensional superstrings. This last year has witnessed a new shift of equal proportions: perturbative…

High Energy Physics - Theory · Physics 2014-11-18 M. J. Duff

We compute the prediction of the Nambu-Goto effective string model for a rectangular Wilson loop up to three loops. This is done through the use of an operatorial, first order formulation and of the open string analogues of boundary states.…

High Energy Physics - Theory · Physics 2013-03-22 Marco Billo' , Michele Caselle , Roberto Pellegrini

It's been a remarkable decade in neutrino physics. Ten years ago this summer, at the 1998 neutrino conference in Takayama, the Super-Kamiokande collaboration reported the observation of neutrinos changing flavor, thereby establishing the…

High Energy Physics - Experiment · Physics 2008-10-23 Christopher W. Walter

We study the topological string partition function of a class of toric, double elliptically fibered Calabi-Yau threefolds $X_{N,M}$ at a generic point in the K\"ahler moduli space. These manifolds engineer little string theories in five…

High Energy Physics - Theory · Physics 2018-05-16 Brice Bastian , Stefan Hohenegger , Amer Iqbal , Soo-Jong Rey

The one-plaquette Hamiltonian of large N lattice gauge theory offers a constructive model of a $1+1$-dimensional string theory with a stable ground state. The free energy is found to be equivalent to the partition function of a string where…

High Energy Physics - Theory · Physics 2010-11-01 S. Chaudhuri , H. Itoyama , T. Ooshita

We write down a general geometric action principle for spinning strings in $d$-dimensional Minkowski space, which is formulated without the use of Grassmann coordinates. Instead, it is constructed in terms of the pull-back of a left…

High Energy Physics - Theory · Physics 2009-10-30 A. Stern

We give an introduction to the statistical approach to studying vacua of string/M theory, and discuss recent results of Ashok and Douglas on counting supersymmetric flux vacua in type IIb Calabi-Yau compactification. To appear in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michael R. Douglas

We extend the Veneziano and Shapiro-Virasoro amplitudes to four arbitrarily excited states in bosonic string theory. We use the formalism of coherent string states based on the Di Vecchia-Del Giudice-Fubini construction. Within the same…

High Energy Physics - Theory · Physics 2024-06-06 Maurizio Firrotta

Inspired by the model of Nambu and Jona-Lasinio, various Lagrangians are considered for a system of interacting quarks. Employing standard techniques of many-body theory, the scalar part of the quark self-energy is calculated including…

Nuclear Theory · Physics 2008-11-26 P. Domitrovich , D. Bückers , H. Müther

We derive the next-to-leading order correction to the Nambu-Jona-Lasinio model starting from quantum chromodynamics. So, we are able to fix the constants of the Nambu-Jona-Lasinio model from quantum chromodynamics and analyze the behavior…

High Energy Physics - Phenomenology · Physics 2017-03-21 Marco Frasca

We study the dynamics of strings by means of a distribution function f(A, B, x, t) defined on a 9+1D phase space, where A and B are the correlation vectors of right- and left-moving waves. We derive a transport equation (an analogous to…

High Energy Physics - Theory · Physics 2011-06-07 Vitaly Vanchurin

We calculate energies and tensions of closed k-strings in (2+1)-dimensional SU(N) gauge theories with N=4,5,6,8. When we study the dependence of the ground state energy on the string length, we find that it is well described by a Nambu-Goto…

High Energy Physics - Lattice · Physics 2008-11-26 Barak Bringoltz , Michael Teper

We study rigidly rotating and pulsating strings in the background of a 1+1 dimensional intersection of two orthogonal stacks of fivebranes in type IIB string theory by using the Neumann-Rosochatius (NR) model. Starting with the Polyakov…

High Energy Physics - Theory · Physics 2022-12-28 Adrita Chakraborty , Nibedita Padhi , Priyadarshini Pandit , Kamal L. Panigrahi

We re-examine a closed-string model defined by altering the boundary conditions for one handedness of two-dimensional propagators in otherwise-standard string theory. We evaluate the amplitudes using Kawai-Lewellen-Tye factorization into…

High Energy Physics - Theory · Physics 2016-10-12 Yu-tin Huang , Warren Siegel , Ellis Ye Yuan

Using matrix product states, we explore numerically the phenomenology of string breaking in a non-Abelian lattice gauge theory, namely 1+1 dimensional SU(2). The technique allows us to study the static potential between external heavy…

High Energy Physics - Lattice · Physics 2015-09-04 Stefan Kühn , Erez Zohar , J. Ignacio Cirac , Mari Carmen Bañuls

We study possible patterns of neutrino masses and mixings in string models in which Majorana neutrino masses are generated by a certain class of string theory instantons recently considered in the literature. These instantons may generate…

High Energy Physics - Phenomenology · Physics 2009-01-06 S. Antusch , L. E. Ibanez , T. Macri

We consider brane-world scenarios embedded into string theory. We find that the D-brane backreaction induces a large increase in the open string's proper length. Consequently the stringy nature of elementary particles can be detected at…

High Energy Physics - Theory · Physics 2015-06-03 Raphael Benichou , John Estes

In analogy to Nambu's generalization of mechanics, we present a generalization of Poisson sigma models to higher dimensional world volumes. We find corresponding generalizations of string sigma models and open-closed string relations for…

High Energy Physics - Theory · Physics 2012-05-14 Peter Schupp , Branislav Jurco
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