Bounded Collection of Feynman Integral Calabi-Yau Geometries
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Bounded Collection of Feynman Integral Calabi-Yau Geometries. / Bourjaily, Jacob L.; McLeod, Andrew J.; Von Hippel, Matt; Wilhelm, Matthias.
In: Physical Review Letters, Vol. 122, No. 3, 031601, 24.01.2019.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Bounded Collection of Feynman Integral Calabi-Yau Geometries
AU - Bourjaily, Jacob L.
AU - McLeod, Andrew J.
AU - Von Hippel, Matt
AU - Wilhelm, Matthias
PY - 2019/1/24
Y1 - 2019/1/24
N2 - We define the rigidity of a Feynman integral to be the smallest dimension over which it is nonpolylogarithmic. We prove that massless Feynman integrals in four dimensions have a rigidity bounded by 2(L-1) at L loops provided they are in the class that we call marginal: those with (L+1)D/2 propagators in (even) D dimensions. We show that marginal Feynman integrals in D dimensions generically involve Calabi-Yau geometries, and we give examples of finite four-dimensional Feynman integrals in massless φ4 theory that saturate our predicted bound in rigidity at all loop orders.
AB - We define the rigidity of a Feynman integral to be the smallest dimension over which it is nonpolylogarithmic. We prove that massless Feynman integrals in four dimensions have a rigidity bounded by 2(L-1) at L loops provided they are in the class that we call marginal: those with (L+1)D/2 propagators in (even) D dimensions. We show that marginal Feynman integrals in D dimensions generically involve Calabi-Yau geometries, and we give examples of finite four-dimensional Feynman integrals in massless φ4 theory that saturate our predicted bound in rigidity at all loop orders.
U2 - 10.1103/PhysRevLett.122.031601
DO - 10.1103/PhysRevLett.122.031601
M3 - Journal article
C2 - 30735423
AN - SCOPUS:85060643237
VL - 122
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 3
M1 - 031601
ER -
ID: 227488590