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We consider the static potential in theories exhibiting spontaneous symmetry breaking. We use our findings to calculate the static potential of the Standard Model at one-loop order. We do so in both the Wilson loop and scattering amplitude…

High Energy Physics - Phenomenology · Physics 2020-11-24 B. Assi , B. A. Kniehl

The spectra of random feature matrices provide essential information on the conditioning of the linear system used in random feature regression problems and are thus connected to the consistency and generalization of random feature models.…

Machine Learning · Statistics 2022-12-13 Zhijun Chen , Hayden Schaeffer , Rachel Ward

We analyze the neutrino mass matrix entries and their correlations in a probabilistic fashion, constructing probability distribution functions using the latest results from neutrino oscillation fits. Two cases are considered: the standard…

High Energy Physics - Phenomenology · Physics 2015-06-12 E. Bertuzzo , P. A. N. Machado , R. Zukanovich Funchal

By making use of martingale representations, we derive the asymptotic normality of particle filters in hidden Markov models and a relatively simple formula for their asymptotic variances. Although repeated resamplings result in complicated…

Statistics Theory · Mathematics 2013-12-19 Hock Peng Chan , Tze Leung Lai

For over 50 years attempts have been made to explain the properties of nuclear matter in terms of constituent nucleons with very little success. Here we will investigate one class of many possible models, string-flip potential models, in…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Boyce , P. J. S. Watson

In these lectures I describe some of the open questions in the standard model relating to the nature and origin of mass, forces and matter and discuss some of the speculative theoretical ideas put forth in this regard. Some of the topics…

High Energy Physics - Phenomenology · Physics 2007-05-23 Roberto Peccei

Standard particle theory is based on quantized matter embedded in a classical geometry. Here, a complementary model is proposed, based on classical matter -- massive bodies, without quantum properties -- embedded in a quantum geometry. It…

Quantum Physics · Physics 2013-03-26 Craig Hogan

For the vacuum sectors of regime-III ABF models, we observe that two sets of combinatorial objects: the strings which parametrize the row-to-row transfer matrix eigenvectors, and the paths which parametrize the corner transfer matrix…

q-alg · Mathematics 2009-10-30 S. Dasmahapatra , O. Foda

Cosmic strings are predicted in many models beyond the Standard Model of particle physics. In models which admit strings, a network of strings will inevitably be formed in a phase transition in the early universe and will persist to the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Robert H. Brandenberger

The matrix model formulation of M-theory can be generalized by compactification to ten-dimensional type II string theory, formulated in the infinite momentum frame. Both the type IIA and IIB string theories can be formulated in this way. In…

High Energy Physics - Theory · Physics 2008-11-26 Savdeep Sethi , Leonard Susskind

In these lecture notes for the Les Houches School on Applications of Random Matrices in Physics we give an introduction to the connections between matrix models and topological strings. We first review some basic results of matrix model…

High Energy Physics - Theory · Physics 2007-05-23 Marcos Marino

We present a class of N=1 supersymmetric ``standard'' models of particle physics, derived directly from heterotic M-theory, that contain three families of chiral quarks and leptons coupled to the gauge group SU(3)_C X SU(2)_L X U(1)_Y.…

High Energy Physics - Theory · Physics 2007-05-23 Ron Donagi , Burt A. Ovrut , Tony Pantev , Daniel Waldram

Effective theories based on experimental data provide powerful probes and tests of underlying theories in elementary particle physics. Examples within and beyond the Standard Model are discussed, including a specific model for supersymmetry…

High Energy Physics - Phenomenology · Physics 2017-08-23 Mary K. Gaillard

We revisit the stability of the complex structure moduli in the large volume regime of type-IIB flux compactifications. We argue that when the volume is not exponentially large, such as in K\"ahler uplifted dS vacua, the quantum corrections…

High Energy Physics - Theory · Physics 2016-11-02 Ana Achúcarro , Pablo Ortiz , Kepa Sousa

String theory is the leading candidate for a unified theory of the standard model and gravity. In the last few years theorists have realized that there is a unique structure underlying string theory. In this unification a prominent role is…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. E. Ibanez

Both classical and respectively quantum observables can be modeled as somewhat similar examples of random variables. In such a model the associated measurements preserve the values spectrum of an observable but change the corresponding…

Statistical Mechanics · Physics 2008-03-20 S. Dumitru , A. Boer

In the past three years our views on how the standard model of particle physics could be embedded into string theory have dramatically changed. The heterotic string is no longer the only possibility for such an embedding and other…

High Energy Physics - Phenomenology · Physics 2011-04-15 L. E. Ibanez

Superstring theories are very promising theoretically, but the enormous landscape of string vacua and the (likely) very large underlying string scale imply that they may never be tested directly. Nevertheless, concrete constructions…

High Energy Physics - Theory · Physics 2018-02-07 James Halverson , Paul Langacker

We apply the techniques of the ``universal string theory'' to the ``manifold'' paradigm for superstring/M-theory and come up with a candidate manifold: the manifold of F-theory vacua, defined in conformal field theoretical terms. It…

High Energy Physics - Theory · Physics 2007-05-23 JM Figueroa-O'Farrill

A while ago, examples of N=1 vacua in D=6 were constructed as orientifolds of Type IIB string theory compactified on the K3 surface. Among the interesting features of those models was the presence of D5-branes behaving like small…

High Energy Physics - Theory · Physics 2009-10-30 Eric G. Gimon , Clifford V. Johnson