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  1. 9 The Goldstone Theorem

    The mechanism of SSB does not only provide a general strategy for unifying the description of apparently different systems, but it also provide...
    Franco Strocchi in Symmetry Breaking
    Chapter
  2. Introduction to Part II

    These notes arose from courses given at the International School for Advanced Studies (Trieste) and at the Scuola Normale Superiore (Pisa) in various...
    Franco Strocchi in Symmetry Breaking
    Chapter
  3. 6 Sectors with Energy-Momentum Density

    We shall now discuss the requirement III of finite energy-momentum, briefly mentioned in the previous section. Clearly, the possibility of using...
    Franco Strocchi in Symmetry Breaking
    Chapter
  4. Hadron Structure and QCD: Effective Field Theory for Lattice Simulations

    Chiral extrapolations will be essential for many years if one is to connect modern lattice QCD calculations with experiment. Given the enormous...
    D.B. Leinweber, A.W. Thomas, R.D. Young in Lattice Hadron Physics
    Chapter
  5. Quark Propagator from LQCD and Its Physical Implications

    The quark propagator lies at the core of lattice hadron spectrum calculations as well as studies in other nonperturbative schemes. It manifestly...
    P.O. Bowman, U.M. Heller, ... J.B. Zhang in Lattice Hadron Physics
    Chapter
  6. Coupled Map Lattices: at the Age of Maturity

    Coupled Map Lattices (CML) were simultaneously and independently introduced by K. Kaneko, R. Kapral and S. Kuznetsov in 1983–84 [1, 2, 3, 4, 5, 6]....
    Chapter
  7. The Four–Dimensional Spacetime

    Physics theories are made by building mathematical models that correspond to physical systems. General Relativity, the physical theory of...
    Carles Bona, Carlos Palenzuela-Luque in Elements of Numerical Relativity
    Chapter
  8. 13 Fermi and Bose Gas at Non-zero Temperature

    As an example of symmmetry breaking at non-zero temperature we discuss the free Fermi and Bose gas, starting from finite volume and then discussing...
    Franco Strocchi in Symmetry Breaking
    Chapter
  9. 1 Symmetries of a Classical System

    The realization of symmetries in physical systems has proven to be of help in the description of physical phenomena: it makes it possible to relate...
    Franco Strocchi in Symmetry Breaking
    Chapter
  10. 14 Quantum Fields at Non-zero Temperature

    The general structure discussed above provides a neat and unique prescription for the quantization of relativistic fields at non-zero temperature...
    Franco Strocchi in Symmetry Breaking
    Chapter
  11. 8 Examples

    The model describes the simplest non-linear field theory and it can be regarded as a prototype of field theories in one space dimension (s=1). The...
    Franco Strocchi in Symmetry Breaking
    Chapter
  12. Momentum and Energy Relations

    The equations of motion (5.12) for the charged insulating sphere of radius a moving with arbitrary center velocity u(t) can be rewritten in...
    Chapter
  13. Baryon Spectroscopy in Lattice QCD

    We review recent developments in the study of excited baryon spectroscopy in lattice QCD. After introducing the basic methods used to extract masses...
    D.B. Leinweber, W. Melnitchouk, ... J.M. Zanotti in Lattice Hadron Physics
    Chapter
  14. Hadron Properties with FLIC Fermions

    The Fat-Link Irrelevant Clover (FLIC) fermion action provides a new form of nonperturbative O(a)-improvement in lattice fermion actions offering near...
    J.M. Zanotti, D.B. Leinweber, ... J.B. Zhang in Lattice Hadron Physics
    Chapter
  15. Desynchronization and Chaos in the Kuramoto Model

    Abstract. The Kuramoto model of N globally coupled phase oscillators is an essentially non-linear dynamical system with a rich dynamical behavior and...
    Chapter
  16. Spatially Extended Monotone Map**s

    This chapter deals with the study of travelling waves in discrete time spatially extended systems with monotone dynamics. Such systems appear for...
    Chapter
  17. Boundary Conditions

    Most Numerical Relativity simulations are devised to approximate the time evolution of the dynamical fields starting from data given on an initial...
    Carles Bona, Carlos Palenzuela-Luque in Elements of Numerical Relativity
    Chapter
  18. Dynamical Frustration in ANNNI Model and Annealing

    Simulated annealing is usually applied to systems with frustration, like spin glasses and optimisation problems, where the energy landscape is...
    Parongama Sen, Pratap K. Das in Quantum Annealing and Other Optimization Methods
    Chapter
  19. Derivation of Force and Power Equations

    The inconsistency between the power and force equations of motion, (2.4) and (2.1) or (2.5), is so surprising that one is tempted to question the...
    Chapter
  20. Internal Binding Forces

    In Appendix B, we have critically confirmed the evaluation of the self electromagnetic force and power, (3.1) and (3.2), leading to the force and...
    Chapter
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