| | |
| | |
Stat |
Members: 3667 Articles: 2'599'751 Articles rated: 2609
08 February 2025 |
|
| | | |
|
Article overview
| |
|
Abelian color cycles: a new approach to strong coupling expansion and dual representations for non-abelian lattice gauge theory | Christof Gattringer
; Carlotta Marchis
; | Date: |
1 Sep 2016 | Abstract: | We propose a new approach to strong coupling series and dual representations
for non-abelian lattice gauge theories using the SU(2) case as an example. The
Wilson gauge action is written as a sum over "abelian color cycles" (ACC) which
correspond to loops in color space around plaquettes. The ACCs are complex
numbers which can be commuted freely such that the strong coupling series and
the dual representation can be obtained as in the abelian case. Using a
suitable representation of the SU(2) gauge variables we integrate out all
original gauge links and identify the constraints for the dual variables in the
SU(2) case. We show that the construction can be generalized to the case of
SU(2) gauge fields with staggered fermions. The result is a strong coupling
series where all gauge integrals are known in closed form and we discuss its
applicability for possible dual simulations. The abelian color cycle concept
can be generalized to other non-abelian gauge groups such as SU(3). | Source: | arXiv, 1609.0124 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|