REVIEW 7 cited by
Seven loops φ⁴
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
Seven loops φ⁴
read the original abstract
We give a detailed account of the theory of position space renormalization using graphical functions in the case of dimensionally regularized $\phi^4$ theory in four dimensions. In this theory we calculate the beta function, the mass gamma function, and the self energy to seven loops in the minimal subtraction scheme. The anomalous dimension $\gamma$ is calculated to loop order eight. When possible, we generalize to even dimensions $\geq4$ with particular focus on $\phi^3$ theory in six dimensions. In this theory we calculate the anomalous dimension $\gamma$ to loop order six.
Forward citations
Cited by 7 Pith papers
-
$\phi^6$ at $6$ (and some $8$) loops in $3d$
Six-loop beta-function graphs for general ϕ⁶ theory in 3d are recalculated (differing from Hager, agreeing with recent work), with large-N eight-loop results, O(ε³) exponents, and gradient-flow linear relations.
-
On the Wilson-Fisher fixed point in the limit of integer spacetime dimensions
The d→2 Wilson-Fisher limit is proposed to be strictly larger than the 2d Ising CFT, which emerges as a unitary subsector after negative-multiplicity operators cancel exactly.
-
$\phi^6$ at $6$ (and some $8$) loops in $3d$
Recalculation of individual six-loop graph contributions to the β-function in 3d φ⁶ theory with arbitrary potential, plus large-N eight-loop diagrams and O(ε³) critical exponents at the O(N) fixed point.
-
$\phi^6$ at $6$ (and some $8$) loops in $3d$
Recalculation of individual six-loop graph contributions to the beta function in 3d phi^6 theory with arbitrary potential, plus large-N eight-loop terms and O(epsilon^3) critical exponents at the O(N) fixed point.
-
HyperFORM -- a FORM package for parametric integration with hyperlogarithms
A new open FORM package implements parametric hyperlogarithm integration, demonstrated on zigzag Feynman integrals up to six loops.
-
Lectures on Semiclassical Methods for Composite Operators
Lecture notes develop semiclassical methods to compute large-n scaling dimensions of composite operators in CFTs, recovering known results in free theory and deriving one-loop corrections at the Wilson-Fisher fixed point.
-
Graphical Functions by Examples
Graphical functions, defined as massless three-point position-space integrals, serve as a powerful tool for evaluating multi-loop Feynman integrals, with extensions to conformal field theory and recent algorithmic com...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.