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$p$-Adic mathematical physics is a branch of modern mathematical physics based on the application of $p$-adic mathematical methods in modeling physical and related phenomena. It emerged in 1987 as a result of efforts to find a…

Mathematical Physics · Physics 2017-05-16 B. Dragovich , A. Yu. Khrennikov , S. V. Kozyrev , I. V. Volovich , E. I. Zelenov

In these introductory notes I explain some basic ideas in string field theory. These include: the concept of a string field, the issue of background independence, the reason why minimal area metrics solve the problem of generating all…

High Energy Physics - Theory · Physics 2007-05-23 B. Zwiebach

String theoretical ideas might be relevant for particle physics model building. Ideally one would hope to find a unified theory of all fundamental interactions. There are only few consistent string theories in D=10 or 11 space-time…

High Energy Physics - Theory · Physics 2015-06-19 Hans Peter Nilles , Patrick K. S. Vaudrevange

String theory can (in principle) describe gravity at all curvature scales, and can be applied to cosmology to look back in time beyond the Planck epoch. The duality symmetries of string theory suggest a cosmological picture in which the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Gasperini

Quantum gravity was born as that branch of modern theoretical physics that tries to unify its guiding principles, i.e., quantum mechanics and general relativity. Nowadays it is providing new insight into the unification of all fundamental…

High Energy Physics - Theory · Physics 2011-08-17 Giampiero Esposito

This talk considers possible lessons of string theory for low energy physics. These are of two types. First, assuming that string theory is the correct underlying theory of all interactions, we ask whether there are any generic predictions…

High Energy Physics - Theory · Physics 2009-10-22 Michael Dine

String theory is the leading contemporary framework to explore the synthesis of quantum mechanics with gravity. String phenomenology aims to study string theory while maintaining contact with observational data. The fermionic $Z_2\times…

High Energy Physics - Theory · Physics 2020-03-18 Alon E Faraggi

Several years ago, I suggested a quantum field theory which has many attractive features. (1) It can explain the quantization of electric charge. (2) It describes symmetrized Maxwell equations. (3) It is manifestly covariant. (4) It…

High Energy Physics - Phenomenology · Physics 2009-08-05 Rainer W. Kuhne

In the early 1970s, after a slow start, and lots of hurdles, Quantum Field Theory emerged as the superior doctrine for understanding the interactions between relativistic sub-atomic particles. After the conditions for a relativistic field…

High Energy Physics - Theory · Physics 2016-10-12 Gerard 't Hooft

Particle physics has evolved in the past decade through evaluating the consequences of experimental measurements as well as exploiting theoretical tools that permit exploration of new model building and cosmological possibilities.…

High Energy Physics - Theory · Physics 2022-03-16 Prateek Agrawal , Cari Cesarotti , Andreas Karch , Rashmish K. Mishra , Lisa Randall , Raman Sundrum

We develop the idea for a new string field theory of ours that was proposed earlier in a very rudimentary form in a talk in the Symposium of Tohwa University [1]. The main point is to describe the system of strings in the Universe by means…

High Energy Physics - Theory · Physics 2011-12-08 H. B. Nielsen , M. Ninomiya

This is a short summary of my lectures given at the Fourth Mexican School on Gravitation and Mathematical Physics. These lectures gave a brief introduction to black holes in string theory, in which I primarily focussed on describing some of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert C. Myers

String theory is canonically accompanied with a space-time interpretation which determines S-matrix-like observables, and connects to the standard physics at low energies in the guise of local effective field theory. Recently, we have…

High Energy Physics - Theory · Physics 2015-03-02 Laurent Freidel , Robert G. Leigh , Djordje Minic

One of the greatest challenges facing theoretical physics lies in reconciling Einstein's classical theory of gravity - general relativity - with quantum field theory. Although both theories have been experimentally supported in their…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. Au

It is well known that in quantum gravity, the very geometry of space and time is subject to continual fluctuation. The mathematical formulation for this old theory is still lacking. This article formulates this more than forty-year-old…

General Relativity and Quantum Cosmology · Physics 2024-09-27 Behzad Tajahmad

In this chapter we give an introduction to the transverse dynamics of the particles in a synchrotron or storage ring. The emphasis is more on qualitative understanding rather than on mathematical correctness, and a number of simulations are…

Accelerator Physics · Physics 2014-04-04 B. J. Holzer

We briefly overview how, historically, string theory led theoretical physics first to precise problems in algebraic and differential geometry, and thence to computational geometry in the last decade or so, and now, in the last few years, to…

High Energy Physics - Theory · Physics 2021-12-01 Yang-Hui He

I describe our understanding of physics near the planck length, in particular the great progress of the last four years in string theory. Superstring theory, and a recent extension called M theory, are leading candidates for a quantum…

High Energy Physics - Theory · Physics 2007-05-23 Joseph Kouneiher

Cosmic strings are linear concentrations of energy that form whenever phase transitions in the early universe break axial symmetries as originally shown by Kibble. They are the result of frustrated order in the quantum fields responsible…

Astrophysics · Physics 2008-11-11 A. Achucarro , C. J. A. P. Martins

The lecture note consists of four parts. In the first part, we review a 2+1 dimensional lattice model which realizes emergent supersymmetry at a quantum critical point. The second part is devoted to a phenomenon called fractionalization…

High Energy Physics - Theory · Physics 2010-12-17 Sung-Sik Lee