Quintessence dark energy from strongly-coupled higgs mass gap: local and non-local higher-derivative non-perturbative scenarios

Frasca, Marco; Ghoshal, Anish; Koshelev, Alexey S.

doi:10.1140/epjc/s10052-022-11057-7

Cited by 6 publications

(6 citation statements)

References 106 publications

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“…It is seen that the behavior is maintained notwithstanding the varying background f 0 at varying couplings λ. Different colors represent different curves plotted at various values given by the background f 0 (see equation (16) in the Supplementary Materials) so as to give the corresponding spreading. We note that such a spreading decreases with increasing λ, showing the effect of non-perturbative regimes.…”

Section: Data Availability Statementmentioning

confidence: 99%

“…The result obtained in this way is valid even in strongly coupled regimes. (For recent applications of such a technique to quantum chromodynamics and confinement and hadronic contributions to muon magnetic moment and dark energy cosmology see [12][13][14][15][16] and to the Higgs sector of the standard model see [17].) Our scheme is also applicable to the first-order phase transition phenomena in strongly coupled condensed matter systems.…”

Section: Introductionmentioning

confidence: 99%

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Fate of false vacuum in non-perturbative regimes

Frasca,

Ghoshal,

Okada

2024

J. Phys. G: Nucl. Part. Phys.

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We use some exact results in the scalar field theory to revise the analysis by Coleman and Callan about the false vacuum decay and propose a simple non-perturbative formalism. We introduce exact Green's function which incorporates non-perturbative corrections in the strong coupling regimes of the theory. The solution of the scalar field theory involves Jacobi elliptical function and has been used to calculate the effective potential for any arbitrary coupling values. We demonstrate the use of this formalism in a simple $\lambda \phi^4$ theory and show that the effective potential exhibits a false minimum at the origin. We then calculate the false vacuum decay rate, in the thin wall approximation, and suggest simple analytic formulas which may be useful for the analysis for the first order phase transition beyond the perturbative regime. In our methodology, we show that the standard results obtained in perturbation theory are reproduced by taking the coupling values very small.

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Section: Data Availability Statementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fate of false vacuum in non-perturbative regimes

Frasca,

Ghoshal,

Okada

2024

J. Phys. G: Nucl. Part. Phys.

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“…Dealing with the non-locality, we use an approach without redefinition of fields originally devised in Ref. [51]. Inserting F a µν and performing integration by parts, one obtains…”

Section: Infinite-derivative Su(n)mentioning

confidence: 99%

“…2 For astrophysical implications, dimensional transmutation and dark matter and dark energy phenomenology in these theories see Refs. [49][50][51]. 3 In the context to gravity theories one can get rid of classical singularities, such as black hole singularities [19,24,[60][61][62][63][64][65][66][67][68][69] and cosmological singularities [70][71][72][73][74][75][76].…”

Section: Introductionmentioning

confidence: 99%

Re-normalisable Non-local Quark-Gluon Interaction: Mass Gap, Chiral Symmetry Breaking & Scale Invariance

Chatterjee¹,

Frasca²,

Ghoshal³

et al. 2023

Preprint

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We derive a Nambu-Jona-Lasinio (NJL) model from a non-local gauge theory and show that it has confining properties at low energies. In particular, we present an extended approach to non-local QCD and a complete revision of the technique of Bender, Milton and Savage applied to non-local theories providing a set of Dyson-Schwinger equations in differential form. In the local case, we obtain closed form solutions in the simplest case of the scalar field and extended it to the Yang-Mills field. In general, for non-local theories, we use a perturbative technique and a Fourier series and show how higher-order harmonics are heavily damped due to the presence of the non-local factor. The spectrum of the theory is analysed for the non-local Yang-Mills sector and found to be in agreement with the local results on the lattice in the limit of the non-locality mass parameter running to infinity. In the non-local case, we contend ourselves to have the non-locality mass sufficiently large compared to the mass scale arising from the integration of the Dyson-Schwinger equations. Such a choice grants good agreement, in the proper limit, with the spectrum of the local theory. We derive the gap equation for the fermions in the theory that gives some indication of quark confinement also in the non-local NJL case. This result is really important, as it seems to point to the fact the confinement (and breaking of scale invariance) could be an ubiquitous effect in nature that removes some degrees of freedom in a theory in order to favour others.

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“…In this work, we develop an approach enabling a fully analytic treatment of non-perturbative quantum field thermodynamics in terms of physical parameters only. Our technique provides, in principle, a systematic way to incorporate finite temperature corrections to the exact Green function in the framework of Dyson-Swinger approach with a nontrivial ground state [5][6][7] which has found wide range of applications to study non-perturbative QFT like QCD computations and UV-completion in gravity theories [8, 9, 11, 12, 15, 17-19, 23, 24] and in cosmology like phase transitions and dark energy [10,13,14,16]. We demonstrate the power of our method by computing the effective action of a pure Yang Mills quantum thermal theory under SU (N ) symmetry group in the non-perturbative regime.…”

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confidence: 99%

Mass gap in strongly coupled infinite derivative non-local Higgs: Dyson–Schwinger approach

Ghoshal¹,

Frasca²

2021

Class. Quantum Grav.

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We investigate the non-perturbative degrees of freedom (d.o.f.) in the class of non-local Higgs theories that have been proposed as an ultraviolet completion 4D quantum field theory generalizing the kinetic energy operators to an infinite series of higher derivatives inspired by string field theory and ghost-free non-local approaches to quantum gravity. At the perturbative level, the d.o.f. of non-local Higgs are the same of the local theory. We prove that, at the nonperturbative level, the physical spectrum of the strongly-coupled Higgs mass is actually corrected from the 'infinite number of derivatives' present in the action. The technique we use permits to derive the set of Dyson-Schwinger equations in differential form. This proves essentially useful when exact solutions to the local equations are known. We show that all the formalism of the local theory involving the Dyson-Schwinger approach extends quite naturally to the nonlocal case. Using these methods, the spectrum of the strongly-coupled non-local theories become accessible in the non-perturbative regimes. We calculate the N-point correlation functions and predict the mass-gap in the spectrum arising purely from the self-interaction and the non-local scale M. The proper weak perturbation limit is correctly recovered from the strong coupling regime in the limit of the coupling of the theory goes to zero. Our results show the mass gap generated in the non-local theories gets damped in the UV and it reaches conformal limit. We discuss the implications of our result in particle physics and cosmology.

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Quintessence dark energy from strongly-coupled higgs mass gap: local and non-local higher-derivative non-perturbative scenarios

Cited by 6 publications

References 106 publications

Fate of false vacuum in non-perturbative regimes

Fate of false vacuum in non-perturbative regimes

Re-normalisable Non-local Quark-Gluon Interaction: Mass Gap, Chiral Symmetry Breaking & Scale Invariance

Mass gap in strongly coupled infinite derivative non-local Higgs: Dyson–Schwinger approach

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