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Discrete linear objects in dimension n: the standard model

Eric Andres
2003 Graphical Models  
A new analytical description model, called the standard model, for the discretization of Euclidean linear objects (point, m-flat, m-simplex) in dimension n is proposed.  ...  A method is provided to compute the analytical description for a given linear object. A discrete standard model has many properties in common with the supercover model from which it derives.  ...  The standard model is defined for all linear primitives in dimension n in Section 3.4.  ... 
doi:10.1016/s1524-0703(03)00004-3 fatcat:zpmc53t7evctdmefmmybu47adm

Defining Discrete Objects for Polygonalization: The Standard Model [chapter]

Eric Andres
2002 Lecture Notes in Computer Science  
A new description model, called the standard model, for discrete linear objects in dimension n is proposed. Standard objects are tunnel-free and (n-1)-connected.  ...  The discrete objects are defined analytically as union of intersections of half-spaces. The standard 3D polygons are well suited for polygonalization.  ...  The images of Figure 3 have been produced in Spamod with help of the algorithms developed by Martine Dexet.  ... 
doi:10.1007/3-540-45986-3_28 fatcat:zr4v2s5ievbvtpig5o5u3pqt34

Beyond the Standard Model [article]

Csaba Csáki, Philip Tanedo
2016 arXiv   pre-print
We introduce aspects of physics beyond the Standard Model focusing on supersymmetry, extra dimensions, and a composite Higgs as solutions to the Hierarchy problem.  ...  Lectures at the European School of High Energy Physics, Parádfürdő, Hungary, 5-18 June 2013.  ...  in part by the nsf grant phy-1316792 and a uci Chancellor's advance fellowship.  ... 
arXiv:1602.04228v1 fatcat:wa3z5tc54vaczng5svnlgtdpfi

Low energy analysis ofνN→νNγin the standard model

Richard J. Hill
2010 Physical Review D  
The production of single photons in low energy (~1 GeV) neutrino scattering off nucleons is analyzed in the Standard Model.  ...  Extrapolation of the process into the ~1-2 GeV region is treated in a simple phenomenological model. Coherent enhancements in compound nuclei are studied.  ...  Breakdown of coherence Coherence is restricted to the case of momentum transfers that are small compared to the inverse size of the nucleus, with linear dimension ∼ A 1/3 .  ... 
doi:10.1103/physrevd.81.013008 fatcat:fi6esogu5babvnqcovnku5bwgi

Beyond the Standard Model [chapter]

Eliezer Rabinovici
2020 Particle Physics Reference Library  
the Standard Model Beyond the Standard Model Beyond the Standard Model Beyond the Standard Model Beyond the Standard Model Beyond the Standard Model Beyond the Standard Model  ...  Beyond the Standard Model Beyond the Standard Model Beyond the Standard Model Beyond the Standard Model Beyond the Standard Model Beyond the Standard Model Beyond the Standard  ... 
doi:10.1007/978-3-030-38207-0_8 fatcat:n3yiy5yybnhofk6ibxcw6pu2fi

The Standard Model [chapter]

Bogdan Povh, Klaus Rith, Christoph Scholz, Frank Zetsche
2002 Particles and Nuclei  
In the sixties the quark model of matter suggested that known hadrons, can be described by three quarks: up, down and strange.  ...  At this scale, the common unit for length is the Fermi or femtometer (fm) in the SI system of units, which is about the size of the proton, where: 1 Fermi (fm) = 10 -15 m = 10 -13 cm.  ...  Upon close inspection, it is in fact two-dimensional since in fact it is cylindrical with an axial dimension and a radial dimension.  ... 
doi:10.1007/978-3-662-05023-1_12 fatcat:7hs4yqrwgzd3pmxxxcef3xby5e

Phenomenology Beyond the Standard Model [article]

Joseph D. Lykken
2005 arXiv   pre-print
An elementary review of models and phenomenology for physics beyond the Standard Model (excluding supersymmetry). The emphasis is on LHC physics.  ...  Based upon a talk given at the Physics at LHC conference, Vienna, 13-17 July 2004.  ...  In the original Kaluza-Klein model Kaluza-Klein mode number is conserved, as this is just conservation of (discrete) momentum in the extra dimension.  ... 
arXiv:hep-ph/0503148v1 fatcat:thrkoa4fljadxcghkizz2e55ei

Beyond the cosmological standard model

Austin Joyce, Bhuvnesh Jain, Justin Khoury, Mark Trodden
2015 Physics reports  
We identify the guiding principles for rigorous and consistent modifications of the standard model, and discuss the prospects for empirical tests.  ...  in bridging the gap between them.  ...  Although here we have followed the historical route to (6.134), it is actually possible to derive this action from a dimensional reduction of a discrete extra dimension, along the lines of the dimensional  ... 
doi:10.1016/j.physrep.2014.12.002 fatcat:mt6zgbmvhbacrh4mmjtoh4jkjm

Standard model in the latticized bulk

Hsin-Chia Cheng, Christopher T. Hill, Stefan Pokorski, Jing Wang
2001 Physical Review D, Particles and fields  
We construct the manifestly gauge invariant effective Lagrangian in 3+1 dimensions describing the Standard Model in 4+1 dimensions, following the transverse lattice technique.  ...  exponential attenuation to other branes, emulating the split-generation model.  ...  of generalized Standard Models in 3 + 1 dimensions.  ... 
doi:10.1103/physrevd.64.065007 fatcat:scz22iqsuncchn22otpvpzaxhu

Physics Beyond the Standard Model [article]

Jean Iliopoulos
2008 arXiv   pre-print
We review our expectations in the last year before the LHC commissioning.  ...  In other words, a Grassmann algebra can be viewed as a linear vector space of 2 n dimensions.  ...  The five dimensional Klein-Gordon equation yields, for the four-dimensional fields φ n : ∂ M ∂ M φ(x M ) = 0 ⇒ ∂ µ ∂ µ φ n (x µ ) = n 2 R 2 φ n (x µ ) (178) The mass spectrum in four dimensions consists  ... 
arXiv:0807.4841v2 fatcat:k6aughhpdna6jjkbvs6yejkj3q

General linear matrix model, Minkowski spacetime and the Standard Model [article]

Chris Belyea
2010 arXiv   pre-print
The model is conjectured to have an origin in infinite dimensional conformal invariance and the concept of Bare Particulars.  ...  However if the extra dimensions are compactified, the Minowski space persists at low energy accompanied by SM generations, potentially doubled further by duplicate zero modes in the compact directions  ...  ACKNOWLEDGMENTS The author acknowledges useful discussions with Robert Foot regarding anomalies and Pamela Tate and Anita Avramides regarding the philosophical work on Bare Particulars.  ... 
arXiv:1004.3009v2 fatcat:bfgidk5a7jhnrdy3f46xgnqfwu

Physics beyond the standard model [chapter]

2011 Advanced Particle Physics Volume II  
In other words, a Grassmann algebra can be viewed as a linear vector space of 2 n dimensions.  ...  The five dimensional Klein-Gordon equation yields, for the four-dimensional fields φ n : ∂ M ∂ M φ(x M ) = 0 ⇒ ∂ µ ∂ µ φ n (x µ ) = n 2 R 2 φ n (x µ ) (178) The mass spectrum in four dimensions consists  ... 
doi:10.1201/b10607-17 fatcat:iy5msndxzjbe3ok6rtpp4dlxvu

Beyond the Standard Model [article]

Graciela Gelmini
1993 arXiv   pre-print
After a review of the basic elements of the standard model, its unsatisfactory features, and ideas to modify them will be discussed.  ...  A pedagogical introduction is given to attempts to formulate a more fundamental theory of elementary particles than that provided by the standard model.  ...  but in one dimensional extended objects, the strings.  ... 
arXiv:hep-ph/9307309v1 fatcat:gsdul22tprdv5ijykgxlnsn6tq

A Topological Formulation of the Standard Model [article]

Marco Spaans
1997 arXiv   pre-print
These properties reproduce the standard model with a stable proton, a natural place for CP violation and doublet-triplet splitting.  ...  Furthermore, it is shown that if the Planck scale topology of the universe involves loops as fundamental objects, its spatial dimension is equal to three.  ...  possible (and in fact necessary) extensions of the minimal standard model.  ... 
arXiv:gr-qc/9711048v1 fatcat:wh2iv5wjangtplzrdqq25ddeba

Beyond the Standard Model' 17 [article]

Dmitry Kazakov
2018 arXiv   pre-print
In conclusion, we formulate the first priority tasks for the future HEP program.  ...  Then we consider possible physics beyond the SM - New symmetries (Gauge, SUSY, etc) - New particles (gauge, axion, superpartners) - New dimensions (extra, large, compact, etc) - New Paradigm (strings,  ...  Acknowledgements The authors would like to express their gratitude to the organizers of the School for their effort in creating a pleasant atmosphere and support.  ... 
arXiv:1807.00148v1 fatcat:cgljkp2jpven7lwpmnmptmygju
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