Gauge symmetry breaking in gauge theories—in search of clarification

Friederich, Simon

doi:10.1007/s13194-012-0061-y

Cited by 27 publications

(26 citation statements)

References 34 publications

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“…Depending on the sign of the nonisotropic couplings γ and λ different breaking patterns are favored, see the discussion below Eq. (34). The decomposition of the elementary multiplets is also similar to the symmetric tensor of SO(N ) and summarized in Tab.…”

Section: Appendix B: Adjoint Representation Of Su(n )mentioning

confidence: 94%

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Analytical relations for the bound state spectrum of gauge theories with a Brout-Englert-Higgs mechanism

Sondenheimer

2020

Phys. Rev. D

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We apply the method proposed by Fröhlich, Morchio, and Strocchi to analyze the bound state spectrum of various gauge theories with a Brout-Englert-Higgs mechanism. These serve as building blocks for theories beyond the standard model but also stress the exceptional role of the standard model weak group. We will show how the Fröhlich-Morchio-Strocchi mechanism relates gaugeinvariant bound state operators to invariant objects of the remaining unbroken gauge group after gauge fixing. In particular, this provides a strict gauge-invariant formulation of the latter in terms of the original gauge symmetry without using the terminology of spontaneous gauge symmetry breaking. We also demonstrate that the Fröhlich-Morchio-Strocchi approach allows us to put new constraints on theories beyond the standard model by pure field-theoretical considerations. Particularly the conventional construction of grand unified theories has to be rethought. 3 We have chosen to decompose the Yang-Mills degrees of freedom at the level of the gauge potential A. This decomposition does generally not translate to the corresponding field strength tensors except for accidental cases. For instance, for the massive vector multiplet for the SO(N ) fundamental case, A f = Aφ 0 , and its field strength tensor F f , we obtain indeed F µν φ 0 ≡ F µν f

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Section: Appendix B: Adjoint Representation Of Su(n )mentioning

confidence: 94%

“…Thus, the direction of the field configuration that minimizes the potential is given in Eq. (34) and its modulus v is determined by the parameters of the potential via µ 2 = 1 2 λv 2 +2λv 2 trφ 4 0 +γvtrφ 3 0 . Equation (33) implies a breaking pattern SU(N ) → S(U(P ) × U(N − P )) with P < N .…”

Section: Appendix B: Adjoint Representation Of Su(n )mentioning

confidence: 99%

Analytical relations for the bound state spectrum of gauge theories with a Brout-Englert-Higgs mechanism

Sondenheimer

2020

Phys. Rev. D

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“…There is a variety of philosophical literature discussing the process of symmetry breaking; e.g. Kosso (2000), Morrison (1995Morrison ( , 2003, Castellani (2003), Earman (2003), Strocchi (2012), or Friederich (2013. For instance, I will assume that the spontaneous breaking of a symmetry does make sense without needing to presuppose an unknown hidden law that is pushing the system to execute the phase transition from one group to one of its subgroups, or that those hidden unobserved postulated bigger symmetries really correspond to more fundamental true laws.…”

Section: Preliminary Assumptionsmentioning

confidence: 99%

Fundamentality, Effectiveness, and Objectivity of Gauge Symmetries

Filomeno

2016

International Studies in the Philosophy of Science

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Much recent philosophy of physics has investigated the process of symmetry breaking. Here, I critically assess the alleged symmetry restoration at the fundamental scale. I draw attention to the contingency that gauge symmetries exhibit, i.e. the fact that they have been chosen from among a countably infinite space of possibilities. I appeal to this feature of group theory to argue that any metaphysical account of fundamental laws that expects symmetry restoration up to the fundamental level is not fully satisfactory. This is a symmetry argument in line with Curie's 1 st principle. Further, I argue that this same feature of group theory helps to explain the "unreasonable" effectiveness of (this subfield of) mathematics in (this subfield of) physics, and that it reduces the philosophical significance that has been attributed to the objectivity of gauge symmetries.

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“…96. See (Friederich [2013b]) for an interpretive discussion of this issue that is aimed at philosophers. 97.…”

Section: Notes 185mentioning

confidence: 99%

Interpreting Quantum Theory

Friederich¹

2015

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The philosophy of science is going through exciting times. New and productive relationships are being sought with the history of science. Illuminating and innovative comparisons are being developed between the philosophy of science and the philosophy of art. The role of mathematics in science is being opened up to renewed scrutiny in the light of original case studies. The philosophies of particular sciences are both drawing on and feeding into new work in metaphysics, and the relationships between science, metaphysics, and the philosophy of science in general are being re-examined and reconfigured.The intention behind this new series from Palgrave Macmillan is to offer a new, dedicated publishing forum for the kind of exciting new work in the philosophy of science that embraces novel directions and fresh perspectives.To this end, our aim is to publish books that address issues in the philosophy of science in the light of these new developments, including those that attempt to initiate a dialogue between various perspectives, offer constructive and insightful critiques, or bring new areas of science under philosophical scrutiny.

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Gauge symmetry breaking in gauge theories—in search of clarification

Cited by 27 publications

References 34 publications

Analytical relations for the bound state spectrum of gauge theories with a Brout-Englert-Higgs mechanism

Analytical relations for the bound state spectrum of gauge theories with a Brout-Englert-Higgs mechanism

Fundamentality, Effectiveness, and Objectivity of Gauge Symmetries

Interpreting Quantum Theory

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