REVIEW 2 cited by
Fractional Derivative Regularization in QFT
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
In this paper, we propose new regularization, where integer-order differential operators are replaced by fractional-order operators. Regularization for quantum field theories based on application of the Riesz fractional derivatives of non-integer orders is suggested. The regularized loop integrals depend on parameter that is the order alpha>0 of the fractional derivative. The regularization procedure is demonstrated for scalar massless fields in phi^4-theory on n-dimensional pseudo-Euclidean space-time.
Forward citations
Cited by 2 Pith papers
-
Heat kernel for higher-order differential operators and generalized exponential functions
For the operator (−∆)^ν, the heat kernel is a generalized exponential (Fox-Wright) function E_{ν,d/2}(−x^2/4τ^{1/ν}), with power-law asymptotics for noninteger ν and oscillatory exponential asymptotics for integer ν.
-
Observational Constraints on Emergent Fractional Fractal Cosmology
Joint SN+H(z)+fσ8+BAO+CMB analysis constrains the EFF fractal dimension to d=2.0004^{+0.0006}_{-0.0003}, with BIC favoring plain ΛCDM.
Discussion (0). Continue with ORCID to comment.