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Numerical Simulations of d = 3 SU ( 2 ) LGT in the Dual Formulation
| Content Provider | Semantic Scholar |
|---|---|
| Author | Dass, N. D. Hari |
| Copyright Year | 1999 |
| Abstract | The outstanding problems in QCD are understanding the mechanisms of confinement, chiral symmetry breaking and the spectrum of the theory including the vacuum structure. Lattice gauge theories have gone a long way in shedding light on some of these important issues. Nevertheless, we are still not in a position to, say, discriminate between different mechanisms for confinement like the dual superconductor mechanism, the ZN -fluxon mechanisms etc. In particular a detailed picture of QCD in terms of the dual variables is still at a preliminary level. Therefore it is desirable to probe alternative formulations of LGT that place greater emphasis on the dual variables. The dual variables simplify the description of some observables while complicating some others. In the formulation to be discussed here, we shall see that while the t’Hooft disordered variables become diagonal, the Wilson loop operators become quite complicated. The continuum limit of LGT’s is in the extreme weak coupling regime and here many of the gauge invariant observables like plaquettes approach unity so in extracting the scaling part of various correlation lengths large ”perturbative” corrections need to be subtracted. But in the dual formulation there are many gauge invariant observables that actually vanish in the weak coupling regime so it can be hoped that correlation functions of these observables are lot ”cleaner”. Other important feature of the dual formulation is that it provides manifestly gauge invariant characterisation of fluctuations. As shown by [1] there is an intriguing connection between the dual formulation of Yang-Mills theories in d = 3 and the Regge-Ponzano formulation of gravity in d = 3. A count of the relevant degrees of freedom indicates that this should happen in d = 4 also. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-lat/9908049v1.pdf |
| Alternate Webpage(s) | http://cds.cern.ch/record/397975/files/9908049.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-lat/0011047v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Byers-Yang theorem Computer simulation Dual Duality (optimization) Lattice gauge theory Numerical linear algebra Observable Perturbation theory (quantum mechanics) Symmetry breaking Test scaling Triune continuum paradigm YANG luteolin 7-O-glucuronosyltransferase activity |
| Content Type | Text |
| Resource Type | Article |
