Fate of the false vacuum in string-inspired nonlocal field theory

Ghoshal, Anish; Nortier, Florian

doi:10.1088/1475-7516/2022/08/047

Cited by 3 publications

(2 citation statements)

References 114 publications

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“…Recently, false vacuum tunnelling studies were carried out in Ref. [77]. Relations to string theory are found in Refs.…”

Section: Introductionmentioning

confidence: 99%

Renormalisable Non-Local Quark–Gluon Interaction: Mass Gap, Chiral Symmetry Breaking and Scale Invariance

Chatterjee,

Frasca,

Ghoshal

et al. 2024

Particles

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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 extend 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 confine ourselves to a non-locality mass that is sufficiently large compared to the mass scale arising from the integration of the Dyson–Schwinger equations. Such a choice results in good agreement, in the proper limit, with the spectrum of the local theory. We derive a gap equation for the fermions in the theory that gives some indication of quark confinement in the non-local NJL case as well. Confinement seems to be a rather ubiquitous effect that removes some degrees of freedom in the original action, favouring the appearance of new observable states, as seen, e.g., for quantum chromodynamics at lower energies.

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“…Recently, false vacuum tunnelling studies were carried out in Ref. [77]. Relations to string theory are found in Refs.…”

Section: Introductionmentioning

confidence: 99%

Renormalisable Non-Local Quark–Gluon Interaction: Mass Gap, Chiral Symmetry Breaking and Scale Invariance

Chatterjee,

Frasca,

Ghoshal

et al. 2024

Particles

Self Cite

View full text Add to dashboard Cite

show abstract

“…Recently, false vacuum tunneling studies were carried out in Ref. [77]. Relations to string theory are found in Refs.…”

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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Path integral and conformal instability in nonlocal quantum gravity

Calcagni,

Modesto

2024

J. High Energ. Phys.

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We introduce the Lorentzian path integral of nonlocal quantum gravity. After introducing the functional measure, the Faddeev-Popov sector and the field correlators, we move to perturbation theory and describe Efimov analytic continuation of scattering amplitudes to Euclidean momenta and back to Lorentzian. We show that the conformal instability problem in the Euclidean path integral is solved by suitable gauge choices at the perturbative level. The three examples of Einstein gravity, Stelle gravity and nonlocal quantum gravity are given.

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Fate of the false vacuum in string-inspired nonlocal field theory

Cited by 3 publications

References 114 publications

Renormalisable Non-Local Quark–Gluon Interaction: Mass Gap, Chiral Symmetry Breaking and Scale Invariance

Renormalisable Non-Local Quark–Gluon Interaction: Mass Gap, Chiral Symmetry Breaking and Scale Invariance

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

Path integral and conformal instability in nonlocal quantum gravity

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