Infinite-derivative completions of quasitopological gravities are ghost-free, avoid strong coupling, and admit exact spherically symmetric vacuum regular black holes obeying a perturbative Birkhoff theorem.
Superrenormalizable gauge and gravitational theories
10 Pith papers cite this work. Polarity classification is still indexing.
10
Pith papers citing it
abstract
We investigate 4-dim gauge theories and gravitational theories with nonpolynomial actions containing an infinite series in covariant derivatives of the fields representing the expansion of a transcendental entire function. A class of entire functions is explicitly constructed such that: (i) the theory is perturbatively superrenormalizable; (ii) no (gauge-invariant) unphysical poles are introduced in the propagators. The nonpolynomial nature is essential; it is not possible to simultaneously satisfy (i) and (ii) with any polynomial series in derivatives. Cutting equations are derived verifying the absence of unphysical cuts and the Bogoliubov causality condition within the loop expansion. A generalized KL representation for the 2-point function is obtained exhibiting the consistency of physical positivity with the improved convergence of the propagators. Some physical effects, such as extended bound excitations in the spectrum, are briefly discussed.
citation-role summary
background 1
citation-polarity summary
roles
background 1polarities
background 1representative citing papers
A finite-proper-time cutoff is imposed on all virtual histories in QED, yielding formally finite Euclidean amplitudes and a calculable O(m²/Λ²) shift in the anomalous magnetic moment, at the cost of a free scale Λ and unresolved Lorentzian continuation.
Fractional gravity yields stable de Sitter expansion and exact bouncing solutions driven by phantom (w < -1) or ghost (negative energy) fluids, with results independent of the form-factor representation.
A ghost-free polynomially bounded scalar theory with momentum-dependent interactions that cancels all loop divergences to all orders, with finite one-loop self-energy and beta function computed, plus a variant with zero mass renormalization.
A minimal proper time τ_min is introduced into QFT to suppress high-energy modes, achieve asymptotic safety via dimensional reduction, and allow a deterministic regime near the Planck scale.
Specific choices of form factors in ghost-free infinite derivative gravity cancel all one-loop logarithmic UV divergences except the Gauss-Bonnet term and a surface term.
Higher-order curvature operators like R□R add new poles and shift existing ones in the graviton propagator, with a method to correctly derive the Einstein frame action illustrated for f(R) gravity.
The paper derives a nonlocal phase-space uncertainty relation implying a minimal measurable length of order L_M and a finite phase-space cell in nonlocal QFT.
Nonlocal Källén-Lehmann spectral densities in the Higgs sector yield exponentially suppressed scattering amplitudes above Λ_NL and suppress the real part of the Higgs self-energy at p² ~ -Λ²_NL, solving the hierarchy problem and testable via LHC global fits.
In flat space, an entire-function regulator F(□/M^2) acts as the multiplicative Euclidean form factor e^{-p_E^2/M^2} on plane waves, yielding exponential UV damping; this known nonlocal-QFT result is re-derived and discussed.
citing papers explorer
-
Regular Black Holes in Nonlocal Quasitopological Gravity
Infinite-derivative completions of quasitopological gravities are ghost-free, avoid strong coupling, and admit exact spherically symmetric vacuum regular black holes obeying a perturbative Birkhoff theorem.
-
Minimum Virtual Proper Time and Finite Mass--Charge Matching in QED
A finite-proper-time cutoff is imposed on all virtual histories in QED, yielding formally finite Euclidean amplitudes and a calculable O(m²/Λ²) shift in the anomalous magnetic moment, at the cost of a free scale Λ and unresolved Lorentzian continuation.
-
Cosmology of fractional gravity
Fractional gravity yields stable de Sitter expansion and exact bouncing solutions driven by phantom (w < -1) or ghost (negative energy) fluids, with results independent of the form-factor representation.
-
An Ultraviolet Finite Theory of Scalars
A ghost-free polynomially bounded scalar theory with momentum-dependent interactions that cancels all loop divergences to all orders, with finite one-loop self-energy and beta function computed, plus a variant with zero mass renormalization.
-
Minimal Proper-time in Quantum Field Theory
A minimal proper time τ_min is introduced into QFT to suppress high-energy modes, achieve asymptotic safety via dimensional reduction, and allow a deterministic regime near the Planck scale.
-
Cancellation of UV divergences in ghost-free infinite derivative gravity
Specific choices of form factors in ghost-free infinite derivative gravity cancel all one-loop logarithmic UV divergences except the Gauss-Bonnet term and a surface term.
-
The Spectrum of Quantum Gravity
Higher-order curvature operators like R□R add new poles and shift existing ones in the graviton propagator, with a method to correctly derive the Einstein frame action illustrated for f(R) gravity.
-
On the Meaning of Localization in Non-Local Quantum Field Theory and On the Limits of a Space-Time Description and the Physical Meaning of Phase Space in a Nonlocal Continuum
The paper derives a nonlocal phase-space uncertainty relation implying a minimal measurable length of order L_M and a finite phase-space cell in nonlocal QFT.
-
Emerging Nonlocal K\"{a}ll\`{e}n-Lehmann Higgs Spectra at the LHC
Nonlocal Källén-Lehmann spectral densities in the Higgs sector yield exponentially suppressed scattering amplitudes above Λ_NL and suppress the real part of the Higgs self-energy at p² ~ -Λ²_NL, solving the hierarchy problem and testable via LHC global fits.
-
On Gauge-Invariant Entire-Function Regulators and UV Finiteness in NonLocal Quantum Field Theory
In flat space, an entire-function regulator F(□/M^2) acts as the multiplicative Euclidean form factor e^{-p_E^2/M^2} on plane waves, yielding exponential UV damping; this known nonlocal-QFT result is re-derived and discussed.