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SUMMARY:Abelian color cycles: a new approach to strong coupling expansion
and dual representation for non-abelian lattice gauge theory.
DTSTART;VALUE=DATE-TIME:20160729T163000Z
DTEND;VALUE=DATE-TIME:20160729T165000Z
DTSTAMP;VALUE=DATE-TIME:20200704T132009Z
UID:indico-contribution-2667@conference.ippp.dur.ac.uk
DESCRIPTION:Speakers: Carla Marchis (University of Graz)\nWe present a dua
l approach for SU(2) lattice gauge theory\, i.e.\, an exact mapping of the
partition sum to new\, so-called dual variables. The dual representation
is constructed by decomposing the Wilson gauge action into “abelian colo
r cycles” (ACC)\, which are loops in color space around plaquettes. The
ACCs are complex numbers and as such commute\, such that a dual representa
tion can be obtained as in the abelian case. The original SU(2) degrees of
freedom are integrated out and the dual degrees of freedom are occupation
numbers of the ACCs\, subject to constraints reflecting the original SU(2
) symmetry.
The approach is then extended to the case of SU(2) gauge fi
elds with fermions. Analyzing the strong coupling region we show that the
system is free of sign problems up to $O(\\beta^3)$. The ACC concept can b
e generalized to other non-abelian gauge groups such as SU(3).\n\nhttps://
conference.ippp.dur.ac.uk/event/470/contributions/2667/
LOCATION:Highfield Campus\, University of Southampton Building 67 Room 102
7
URL:https://conference.ippp.dur.ac.uk/event/470/contributions/2667/
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