TY - JOUR
T1 - Uv/ir connection, a matrix perspective∗
AU - Kinar, Yaron
AU - Sonnenschein, Jacob
AU - Lifschytz, Gilad
N1 - Publisher Copyright:
© 2018 Elsevier B.V., All rights reserved.
PY - 2001
Y1 - 2001
N2 - We show that the matrix formulation of non-commutative field theories is equivalent, in the continuum, to a formulation in a mixed configuration-momentum space. In this formulation, the non-locality of the interactions, that leads to the IR/UV mixing, becomes transparent. We clarify the relation between long range effects (and IR divergences) and the non-planarity of the corresponding Feynman diagrams.
AB - We show that the matrix formulation of non-commutative field theories is equivalent, in the continuum, to a formulation in a mixed configuration-momentum space. In this formulation, the non-locality of the interactions, that leads to the IR/UV mixing, becomes transparent. We clarify the relation between long range effects (and IR divergences) and the non-planarity of the corresponding Feynman diagrams.
KW - M(atrix) Theories
KW - Non-Commutative Geometry
UR - http://www.scopus.com/inward/record.url?scp=33745038989&partnerID=8YFLogxK
U2 - 10.1088/1126-6708/2001/08/001
DO - 10.1088/1126-6708/2001/08/001
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AN - SCOPUS:33745038989
SN - 1029-8479
VL - 5
SP - 1
EP - 19
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 8
ER -