Spontaneous Symmetry Breaking Without Scalar Mesons

Cornwall, John M.; Norton, Richard

doi:10.1103/physrevd.8.3338

Cited by 230 publications

(155 citation statements)

References 24 publications

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“…On R 4 , however, the theory is strongly coupled. The common wisdom of strongly coupled gauge theories tells us that a condensate will form in the most attractive channel (MAC) [35,36]. In this case, the condensate trλλ breaking the discrete chiral symmetry Z 2N → Z 2 , possess a nonzero phase equal to an integer multiple of 2π/N .…”

Section: Disentangled Chiral and Center Symmetry Realizations On S 3 mentioning

confidence: 99%

Phases ofN=∞QCD-like gauge theories onS3×S1and nonperturbative orbifold-orientifold equivalences

Ünsal

2007

Phys. Rev. D

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Abstract:We study the phase diagrams of N = ∞ vector-like, asymptotically free gauge theories as a function of volume, on S 3 × S 1 . The theories of interest are the ones with fermions in two index representations [adjoint, (anti)symmetric, and bifundamental abbreviated as QCD(adj), QCD(AS/S) and QCD(BF)], and are interrelated via orbifold or orientifold projections. The phase diagrams reveal interesting phenomena such as disentangled realizations of chiral and center symmetry, confinement without chiral symmetry breaking, zero temperature chiral transitions, and in some cases, exotic phases which spontaneously break the discrete symmetries such as C, P, T as well as CPT. In a regime where the theories are perturbative, the deconfinement temperature in SYM, and QCD(AS/S/BF) coincide. The thermal phase diagrams of thermal orbifold QCD(BF), orientifold QCD(AS/S), and N = 1 SYM coincide, provided charge conjugation symmetry for QCD(AS/S) and Z 2 interchange symmetry of the QCD(BF) are not broken in the phase continously connected to R 4 limit. When the S 1 circle is endowed with periodic boundary conditions, the (nonthermal) phase diagrams of orbifold and orientifold QCD are still the same, however, both theories possess chirally symmetric phases which are absent in N = 1 SYM. The match and mismatch of the phase diagrams depending on the spin structure of fermions along the S 1 circle is naturally explained in terms of the necessary and sufficient symmetry realization conditions which determine the validity of the nonperturbative orbifold orientifold equivalence.

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Section: Disentangled Chiral and Center Symmetry Realizations On S 3 mentioning

confidence: 99%

Phases ofN=∞QCD-like gauge theories onS3×S1and nonperturbative orbifold-orientifold equivalences

Ünsal

2007

Phys. Rev. D

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“…The fact that only the longitudinally-coupled form factors are allowed to contain pole parts is dictated by the physical requirement that they should act like 'dynamical Nambu-Goldstone bosons', and decouple from physical observables [57][58][59][60][61][62][63].…”

Section: Evading the Seagull Cancellations: Vertices With Polesmentioning

confidence: 99%

Unified description of seagull cancellations and infrared finiteness of gluon propagators

Aguilar¹,

Binosi²,

Figueiredo³

et al. 2016

Phys. Rev. D

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We present a generalized theoretical framework for dealing with the important issue of dynamical mass generation in Yang-Mills theories, and, in particular, with the infrared finiteness of the gluon propagators, observed in a multitude of recent lattice simulations. Our analysis is manifestly gauge-invariant, in the sense that it preserves the transversality of the gluon self-energy, and gauge-independent, given that the conclusions do not depend on the choice of the gauge-fixing parameter within the linear covariant gauges. The central construction relies crucially on the subtle interplay between the Abelian Ward identities satisfied by the nonperturbative vertices and a special integral identity that enforces a vast number of 'seagull cancellations' among the oneand two-loop dressed diagrams of the gluon Schwinger-Dyson equation. The key result of these considerations is that the gluon propagator remains rigorously massless, provided that the vertices do not contain (dynamical) massless poles. When such poles are incorporated into the vertices, under the pivotal requirement of respecting the gauge symmetry of the theory, the terms comprising the Ward identities conspire in such a way as to still enforce the total annihilation of all quadratic divergences, inducing, at the same time, residual contributions that account for the saturation of gluon propagators in the deep infrared.

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“…(12) we have kept terms only up to the AE 4 term that comes from the two-loop contribution. Note that expanding the logarithmic term the AE 2 contribution is absent, which is a consequence of the fact that AE obeys the linear homogeneous SDE for the fermion propagator [10,15]. We parametrize the self-energy AE as [4]…”

Section: Effective Action and Fermion Self-energymentioning

confidence: 99%

Light composite Higgs from an effective action for technicolor

2008

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We compute an effective action for a composite Higgs boson formed by new fermions belonging to a general technicolor non-Abelian gauge theory, using a quite general expression for the fermionic selfenergy that depends on a certain parameter ( ), that defines the technicolor theory from the extreme walking behavior up to the one with a standard operator product expansion behavior. We discuss the values of the trilinear and quadrilinear scalar couplings. Our calculation spans all the possible physical possibilities for mass and couplings of the composite system. In the case of extreme walking technicolor theories we verify that it is possible to have a composite Higgs boson with a mass as light as the present experimental limit, contrary to the usual expectation of a heavy mass for the composite Higgs boson. In this case we obtain an upper limit for the Higgs boson mass, (M H Oð700Þ GeV for SUð2Þ TC ), and the experimental data on the Higgs boson mass constrain SUðNÞ TC technicolor gauge groups to be smaller than SUð10Þ TC .

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Spontaneous Symmetry Breaking Without Scalar Mesons

Cited by 230 publications

References 24 publications

Phases ofN=∞QCD-like gauge theories onS3×S1and nonperturbative orbifold-orientifold equivalences

Phases ofN=∞QCD-like gauge theories onS3×S1and nonperturbative orbifold-orientifold equivalences

Unified description of seagull cancellations and infrared finiteness of gluon propagators

Light composite Higgs from an effective action for technicolor

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