Renormalisation of q-Regularised Multiple Zeta Values

被引：7

作者：

Ebrahimi-Fard, Kurusch ^{[1
]}

Manchon, Dominique ^{[2
]}

Singer, Johannes ^{[3
]}

机构：

[1] ICMAT, CINicolas Cabrera 13-15, Madrid 28049, Spain

[2] Univ Blaise Pascal, CNRS, UMR 6620, 3 Pl Vasarely,CS 60026, F-63178 Aubiere, France

[3] Univ Erlangen Nurnberg, Dept Math, Cauerstr 11, D-91058 Erlangen, Germany

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2016年 / 106卷 / 03期

关键词：

multiple zeta values; renormalisation; Hopf algebra; q-analogues; quasi-shuffle relation; QUANTUM-FIELD THEORY; HOPF-ALGEBRAS;

D O I：

10.1007/s11005-016-0818-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a particular one-parameter family of q-analogues of multiple zeta values. The intrinsic q-regularisation permits an extension of these q-multiple zeta values to negative integers. Renormalised multiple zeta values satisfying the quasi-shuffle product are obtained using an Hopf-algebraic Birkhoff factorisation together with minimal subtraction.

引用

页码：365 / 380

页数：16

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