IR dynamics from UV divergences: UV/IR mixing, NCFT, and the hierarchy problem

Craig, Nathaniel; Koren, Seth

doi:10.1007/jhep03(2020)037

Cited by 14 publications

(11 citation statements)

References 136 publications

(214 reference statements)

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“…Although this scenario could compromise the renormalizability of the theory, it also brings out several opportunities. The mixing could be for example used to generate small scales from the UV dynamics as pointed out in [9]. It also served as a motivation to find new well-behaved NC field theories.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic freedom for $$\lambda \phi ^4_{\star }$$ QFT in Snyder–de Sitter space

Franchino-Viñas

Mignemi

2020

Eur. Phys. J. C

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We analyze the model of a self-interacting $$\phi ^4_{\star }$$ϕ⋆4 scalar field theory in Snyder–de Sitter space. After analytically computing the one-loop beta functions in the small noncommutativity and curvature limit, we solve numerically the corresponding system of differential equations, showing that in this limit the model possesses at least one regime in which the theory is asymptotically free. Moreover, in a given region of the parameter space we also observe a peculiar running of the parameter associated to the curvature, which changes its sign and therefore can be interpreted as a transition from an IR de-Sitter space to and UV anti-de Sitter one.

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Section: Introductionmentioning

confidence: 99%

Asymptotic freedom for $$\lambda \phi ^4_{\star }$$ QFT in Snyder–de Sitter space

Franchino-Viñas

Mignemi

2020

Eur. Phys. J. C

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“…A covariant definition of the "energy density" bound explored in this work, might be derived similar to a covariant entropy bound [11]. Whether there is a relationship between gravitational UV/IR mixing and UV/IR mixing in noncommutative field theories can be determined [38][39][40][41][42], along with the bearing this would have on lepton magnetic moment measurements.…”

Section: Discussionmentioning

confidence: 97%

Anomalous anomalies from virtual black holes

Bramante

Gould

2020

Phys. Rev. D

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We investigate gravitational UV/IR mixing models that predict a breakdown of low energy effective field theory, from loop-level, non-local gravitational corrections to particle processes. We determine how the choice of IR cutoff in these theories alters predictions for lepton magnetic moments. Using Brookhaven E821 muon magnetic moment data, we exclude models of UV/IR mixing with an IR cutoff set by a spherical volume enclosing the experiment. On the other hand, an IR cutoff defined by the simply-connected spatial volume containing the trajectories of the muons, implies a correction to the muon magnetic moment which may have already been observed.

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“…But, e.g., in noncommutative field theories and string theory, short distance physics becomes related to long distance Physics, which is known as UV/IR mixing. The consequence of UV/IR mixing [14] is, e.g., that UV divergences of real φ 4 theory defined on commutative space are transformed into infrared poles in the same theory defined on noncommutative space. There are other more examples explained nicely in [14].…”

Section: Jhep10(2021)220mentioning

confidence: 99%

“…The consequence of UV/IR mixing [14] is, e.g., that UV divergences of real φ 4 theory defined on commutative space are transformed into infrared poles in the same theory defined on noncommutative space. There are other more examples explained nicely in [14].…”

Section: Jhep10(2021)220mentioning

confidence: 99%

ℳcTEQ (ℳ chiral perturbation theory-compatible deconfinement Temperature and Entanglement Entropy up to terms Quartic in curvature) and FM (Flavor Memory)

Yadav

Misra

2021

J. High Energ. Phys.

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A (semiclassical) holographic computation of the deconfinement temperature at intermediate coupling from (a top-down) ℳ-theory dual of thermal QCD-like theories, has been missing in the literature. In the process of filling this gap, we demonstrate a novel UV-IR connection, (conjecture and provide evidence for) a non-renormalization beyond one loop of ℳ-chiral perturbation theory [1]-compatible deconfinement Temperature, and show equivalence with an Entanglement (as well as Wald) entropy [2] computation, up to terms Quartic in curvature (R). We demonstrate a Flavor-Memory (FM) effect in the ℳ-theory uplifts of the gravity duals, wherein the no-braner ℳ-theory uplift retains the “memory” of the flavor D7-branes of the parent type IIB dual in the sense that a specific combination of the aforementioned quartic corrections to the metric components precisely along the compact part (given by S3 as an S1-fibration over the vanishing two-cycle S2) of the non-compact four-cycle “wrapped” by the flavor D7-branes, is what determines, e.g., the Einstein-Hilbert action at O(R4). The aforementioned linear combination of 𝒪(R4) corrections to the ℳ-theory uplift [3, 4] metric, upon matching the holographic result from ℳχPT [1] with the phenomenological value of the coupling constant of one of the SU(3) NLO χPT Lagrangian of [5], is required to have a definite sign. Interestingly, in the decompactification (or “MKK → 0”) limit of the spatial circle in [1] to recover a QCD-like theory in four dimensions after integrating out the compact directions, we not only derive this, but in fact obtain the values of the relevant 𝒪(R4) metric corrections. Further, equivalence with Wald entropy for the black hole in the high-temperature ℳ-theory dual at 𝒪(R4) imposes a linear constraint on a similar linear combination of the abovementioned metric corrections. Remarkably, when evaluating the deconfinement temperature from an entanglement entropy computation in the thermal gravity dual, due to a delicate cancellation between the contributions arising from the metric corrections at 𝒪(R4) in the ℳ theory uplift along the S1-fiber and an S2 (which too involves a similar S1-fibration) resulting in a non-zero contribution only along the vanishing S2 surviving, one sees that there are consequently no corrections to Tc at quartic order in the curvature supporting the conjecture made on the basis of a semiclassical computation.

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IR dynamics from UV divergences: UV/IR mixing, NCFT, and the hierarchy problem

Cited by 14 publications

References 136 publications

Asymptotic freedom for $$\lambda \phi ^4_{\star }$$ QFT in Snyder–de Sitter space

Asymptotic freedom for $$\lambda \phi ^4_{\star }$$ QFT in Snyder–de Sitter space

Anomalous anomalies from virtual black holes

ℳcTEQ (ℳ chiral perturbation theory-compatible deconfinement Temperature and Entanglement Entropy up to terms Quartic in curvature) and FM (Flavor Memory)

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