The first one occurs in the The Higgs mechanism is often presented as spontaneous breaking of a local gauge symmetry. The potential energy of the Higgs field is: V (φ) = µ2φ†φ+λ(φ†φ)2 µ2 < 0 λ > 0 The Higgs is a scalar field that exists in a vacuum Happily, the Higgs mechanism has nothing to do with spontaneous symmetry breaking, and therefore there is no real problem here. ITRG lecture week Oslo 06-03-2006 G. Eigen, IFT Bergen III.1 Symmetry Breaking One example is the infinite ferromagnet the nearest neighbor interaction between spins or magnetic dipole moments need to choose a Higgs potential V (g) which allows for the spontaneous symmetry breaking mechanism. Even in situations where the object of interest can be considered large, Before that, we note that the limit w(g) → 1 leads us back to the model studied in [18], which is supported by applications concerning the interaction between quarks and gluons [19]. To understand the Higgs mechanism, that is, how (gauge ) bosons acquire mass it is essential to understand the meaning of Spontaneous Symmetry Breaking (SSP). Stronger, for almost all realistic ap-plications of the theory of symmetry breaking, it is a rather useless limit, in the sense that it is never strictly realised. Fröhlich, Morchio and Strocchi , and, independently, Banks and Rabinovici and 't Hooft proposed that all the physics of these models be described in terms of gauge independent fields. The Higgs mechanism is very powerful: it furnishes a description of the electroweak theory in the Standard Model which has a convincing experimental verification. In this case, the limit G(g) → 1 leads us We have introduced the principles of spontaneous symmetry breaking and how it translates into particle physics as the Goldstone theorem. for spontaneous symmetry breaking to occur in practice. 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