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Symmetry Matters for the Sizes of Extended Formulations [chapter]

Volker Kaibel, Kanstantsin Pashkovich, Dirk Oliver Theis
2010 Lecture Notes in Computer Science  
Thus, with respect to the question for smallest possible extended formulations, in general symmetry requirements may matter a lot.  ...  symmetric extended formulations of polynomial size exist.  ...  indeed can matter significantly with respect to the minimal sizes of extended formulations.  ... 
doi:10.1007/978-3-642-13036-6_11 fatcat:lo4yscdi6jcbzejm5slxpwn4mi

Symmetry Matters for Sizes of Extended Formulations

Volker Kaibel, Kanstantsin Pashkovich, Dirk Oliver Theis
2012 SIAM Journal on Discrete Mathematics  
Thus, with respect to the question for smallest possible extended formulations, in general symmetry requirements may matter a lot. arXiv:0911.3712v1 [math.CO]  ...  formulation of polynomial size exists.  ...  We thank Christian Bey for useful discussions on subspaces that are invariant under coordinate permutations.  ... 
doi:10.1137/110839813 fatcat:xuh5axhfu5earfbm5y7zlqxqkm

Page 1366 of Mathematical Reviews Vol. 58, Issue 2 [page]

1979 Mathematical Reviews  
In this formulation the Weyl symmetry is extended to the local OSP(1, 4) and the Lagrangian is constructed from the symmetric and antisymmetric representations of that group.  ...  Some of the physical implications of symmetry mappings satisfy- ing g/£,R,,=0, where R,,=«(T7,,;—}$8,;T) is the Ricci tensor for space-time with matter field, are investigated.  ... 

Relic Densities of Gauged Axions and Supersymmetry

Claudio Corianò, Marco Guzzi, Antonio Mariano
2011 Nuclear Physics B - Proceedings Supplements  
Bounds from CAST and WMAP, combined with dark matter simulations, provide significant constraints on the scale of the interactions between the axion and the gauge fields.  ...  We illustrate the structure and the main phenomenological features of a supersymmetric model (the USSM-A) built following a bottom-up approach and containing an anomalous abelian gauge symmetry.  ...  For this reason the misalignment induced at the EWPT and at the QCDPT can be sequential. In this case the mass is defined by the potential of larger size.  ... 
doi:10.1016/j.nuclphysbps.2011.04.073 fatcat:slgd3flej5cptps63dzc4h366m

Page 8881 of Mathematical Reviews Vol. , Issue 99m [page]

1999 Mathematical Reviews  
We formulate mirror symmetry for this class of Calabi-Yau spaces as a duality in the abelian gauge theory, giving the explicit mapping relating the two Lagrangians.  ...  This formulation suggests that mirror symmetry could be derived using abelian duality.  ... 

Large Lorentz scalar and vector potentials in nuclei

R.J. Furnstahl, Brian D. Serot
2000 Nuclear Physics A  
In nonrelativistic models of nuclei, the underlying mass scales of low-energy quantum chromodynamics (QCD) are largely hidden.  ...  In contrast, the covariant formulations used in relativistic phenomenology manifest the QCD scales in nuclei through large Lorentz scalar and four-vector nucleon self-energies.  ...  Tirfessa for useful comments. One of us (B.D.S.) thanks the Ohio State University physics department for its hospitality and financial support during the course of this research.  ... 
doi:10.1016/s0375-9474(00)00146-9 fatcat:fdi7e4r3yrh6blphnvn7cvoj2i

Page 4800 of Mathematical Reviews Vol. , Issue 84k [page]

1984 Mathematical Reviews  
In the paper under review the author investigates the compatibility of the extended conformal theory of gravity when coupled to matter fields and the internal consistency of an SU(N )-extended conformal  ...  The theories are formulated without auxiliary scalar fields, which requires that the noncompact symmetries act nonlinearly.” S. Deser (Waltham, Mass.) 84k:83056  ... 

The Dual Higgs Mechanism and the Origin of Mass in the Universe [article]

A.Aurilia, E.Spallucci
2000 arXiv   pre-print
The existence of a new spontaneously broken symmetry is pointed out which has the same effect of the Peccei-Quinn symmetry in creating axions as pseudo-Goldstone bosons.  ...  Modern particle physics and cosmology support that idea and identify in the cosmic vacuum the ultimate source of matter-energy, both seen and unseen, in the universe.  ...  of space to a size much larger that the presently observable part of the universe; this idea can be formulated within the framework of general relativity as a special case of " Classical Bubble Dynamics  ... 
arXiv:hep-ph/0010340v1 fatcat:cowoyf2qz5bsjgq5io3hta2lxm

Page 1662 of Mathematical Reviews Vol. , Issue 93c [page]

1993 Mathematical Reviews  
Summary: “A closed formulation of the loop equations for the two-matrix model is obtained. The structure of the loop equations shows that there exist a universal W) symmetry in the two-matrix model.  ...  The authors consider the finite-size scaling spectrum of the an- tiferromagnetic Zamolodchikov-Fateev Hamiltonian with toroidal boundary conditions.  ... 

Tensor networks for High Energy Physics: contribution to Snowmass 2021 [article]

Yannick Meurice, James C. Osborn, Ryo Sakai, Judah Unmuth-Yockey, Simon Catterall, Rolando D. Somma
2022 arXiv   pre-print
Tensor network methods are becoming increasingly important for high-energy physics, condensed matter physics and quantum information science (QIS).  ...  The research is labor intensive and requires state of the art computational science and computer science input for its development and validation.  ...  Symmetries Many problems of interest to HEP have symmetries that can also be captured in the TN formulation.  ... 
arXiv:2203.04902v1 fatcat:a6cvbecznjbivdzsjrsczqbpc4

An extended constitutive correspondence formulation of peridynamics based on nonlinear bond-strain measures

M.R. Tupek, R. Radovitzky
2014 Journal of the mechanics and physics of solids  
The specific problem of matter interpenetration observed in numerical discretizations of peridynamics has usually been treated by adding short-range forces between neighboring particles in the discretization  ...  Several analytic examples are used to show that the modified theory avoids issues of matter interpenetration in cases where the original theory fails.  ...  This shows that for m < −1 /2, matter interpenetration near surfaces of discontinuity results in an unbounded nonlocal strain scalar, at least in 1D, i.e.ε (m) (x) → −∞ for −|a| < x ≤ 0 and by symmetry  ... 
doi:10.1016/j.jmps.2013.12.012 fatcat:jxhznnht6jh3zkvzpmhmfpq5ua

Chiral Thermodynamics with Charm [article]

Chihiro Sasaki
2015 arXiv   pre-print
Chiral thermodynamics of charmed mesons is formulated at finite temperature within a 2+1+1-flavored effective Lagrangian incorporating heavy quark symmetry.  ...  The chiral mass splittings are shown to be less sensitive to the light-quark flavors, attributed to the underlying heavy quark symmetry.  ...  Acknowledgments The work has been partly supported by the Hessian LOEWE initiative through the Helmholtz International Center for FAIR (HIC for FAIR), and by the Polish Science Foundation (NCN) under Maestro  ... 
arXiv:1502.07911v1 fatcat:lqdqrmp7pvcjtkrdz3zzweagji

Formulations of spin 1 resonances in the chiral Lagrangian

Masaharu Tanabashi
1996 Physics Letters B  
Equivalence of the hidden local symmetry formulation with non-minimal interactions and the anti-symmetric tensor field method of ρ and a_1 mesons in the chiral lagrangian is shown by using the auxiliary  ...  We also obtain explicit correspondence of parameters in both formulations.  ...  To show the equivalence of the two formulations, we rst rewrite the lagrangian (15) so as to make the generalized hidden local symmetry manifest: The \matter" elds V and A transform as V !  ... 
doi:10.1016/0370-2693(96)00827-1 fatcat:zgtyn7xqqne6dd52armjrcozve

Interacting multiple zero mode formulation and its application to a system consisting of a dark soliton in a condensate

J. Takahashi, Y. Nakamura, Y. Yamanaka
2015 Physical Review A. Atomic, Molecular, and Optical Physics  
To formulate the zero modes in a finite-size system with spontaneous breakdown of symmetries in quantum field theory is not trivial, for in the naive Bogoliubov theory, one encounters difficulties such  ...  A new interacting zero mode formulation that has been proposed for systems with a single zero mode to avoid these difficulties is extended to general systems with multiple zero modes.  ...  ACKNOWLEDGMENTS This work is supported in part by a Grant-in-Aid for Scientific Research (C) (No. 25400410) from the Japan  ... 
doi:10.1103/physreva.92.023627 fatcat:55byfkgmmffshifxo55lvfcjkq

Cosmic internal symmetry in a finite universe [article]

Arthur D. Chernin
2003 arXiv   pre-print
Cosmic internal symmetry (COINS) relates cosmic vacuum, dark matter, baryons and radiation, in a finite universe. Evidence for COINS comes from the concordance data, including the WMAP data.  ...  COINS is behind 1)the cosmic coincidence, 2)the spatial flatness, 3)cosmic entropy, 4)initial amplitude of cosmic perturbations. COINS suggests also a solution to the naturalnes problem.  ...  Vacuum-matter symmetry is internal symmetry that relates vacuum and three basic forms of matter -dark matter, baryons, radiation.  ... 
arXiv:astro-ph/0312645v1 fatcat:kary4itchzdsdmnzuplfhhlbdu
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