Numerical computations in the worldsheet formulation

Fort, Hugo

doi:10.1016/s0920-5632(97)00902-x

Cited by 2 publications

(2 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…So, to evaluate the path integral, the procedure is to generate surfaces with self-avoiding frontiers and with the constraint that they produce on each time slice open paths with ends of opposite parity. This was done recently [23] by means of a Metropolis Monte Carlo algorithm and the results are very encouraging.…”

Section: Conclusion and Final Remarksmentioning

confidence: 89%

World sheet formulation for lattice staggered fermions

1998

View full text Add to dashboard Cite

The world sheet formulation is introduced for lattice gauge theories with dynamical fermions. The partition function of lattice compact QED with staggered fermions is expressed as a sum over surfaces with a border on self-avoiding fermionic paths. The surfaces correspond to the world sheets of loop-like pure electric flux excitations and meson-like configurations ͑open electric flux tubes carrying matter fields at their ends͒. The proposed formulation does not have the problem of the additional doubling of the fermion species due to the discretization of time. The gauge non-redundancy and the geometric transparency are two appealing features of this description. From the computational point of view, the partition function involves fewer degrees of freedom than the Kogut-Susskind formulation and offers an alternative and more economic framework to perform numerical computations with dynamical fermions. ͓S0556-2821͑98͒00106-4͔

show abstract

Section: Conclusion and Final Remarksmentioning

confidence: 89%

World sheet formulation for lattice staggered fermions

1998

View full text Add to dashboard Cite

show abstract

“…The polymer expansion can be viewed as a duality for pure lattice fermions on the lattice, and indeed has been pursued in that context as an alternative computational framework [14,18]. The usefulness of this method is best established in two dimensions (see, for example [13,26]; in three and four dimensions, the presence of an alternating sign in the amplitude presents a challenge).…”

Section: Dynamical Fermions In the Dualmentioning

confidence: 99%

Recent Developments in Dual Lattice Algorithms

Cherrington¹

2009

Proceedings of the XXVI International Symposium on Lattice Field Theory — PoS(LATTICE 2008)

View full text Add to dashboard Cite

We review recent progress in numerical simulations with dually transformed SU (2) LGT, starting with a discussion of explicit dual amplitudes and algorithms for SU(2) pure Yang Mills in D = 3 and D = 4. In the D = 3 case, we discuss results that validate the dual algorithm against conventional simulations. We also review how a local, exact dynamical fermion algorithm can naturally be incorporated into the dual framework. We conclude with an outlook for this technique and a look at some of the current challenges we've encountered with this method, specifically critical slowing down and the sign problem.

show abstract

Numerical computations in the worldsheet formulation

Cited by 2 publications

References 5 publications

World sheet formulation for lattice staggered fermions

World sheet formulation for lattice staggered fermions

Recent Developments in Dual Lattice Algorithms

Contact Info

Product

Resources

About