Twisted boundary conditions in lattice simulations
By C. Sachrajda, G. Villadoro. 2004
222 citations recorded by the source corpus.
Abstract By imposing twisted boundary conditions on quark fields it is possible to access components of momenta other than integer multiples of 2 π / L on a lattice with spatial volume L 3 . We use chiral perturbation theory to study finite-volume effects with twisted boundary conditions for quantities without final-state interactions, such as meson masses, decay constants and semileptonic form factors, and confirm that they remain exponentially small with the volume. We show that this is also the case for partially twisted boundary conditions, in which (some of) the valence quarks satisfy twisted boundary conditions but the sea quarks satisfy periodic boundary conditions. This observation implies that it is not necessary to generate new gluon configurations for every choice of the twist angle, making the method much more practicable. For K → π π decays we show that the breaking of isospin symmetry by the twisted boundary conditions implies that the amplitudes cannot be determined in general (on this point we disagree with a recent claim).
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/0530bee83d7484d181afd84203cd1cc9a7d06094
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In Nuclear and High Energy Physics
Citations in the corpus
- Review of lattice results concerning low-energy particle physics (2016, methodology): “For K → πlν it is now standard to use nonperiodic (“twisted”) boundary conditions [428, 429] to simulate directly at q(2) = 0; see Sec.”
- FLAG Review 2019 (2019, background): “As a consequence, many recent studies have incorporated the use of nonperiodic (“twisted”) boundary conditions [522, 523] as a means to circumvent these difficulties and study other values of momentum including, perhaps, that for which q2 = 0 [67, 524–528].”
- Flavor Physics in the Quark Sector (2009, background): “For one-particle states finite-volume effects are exponentially suppressed in periodic and antiperiodic [74], as well as (partially) twisted [75], boundary conditions.”
- Transport properties of the quark-gluon plasma (2011, background): “sport peak is extremely difficult in that regime. The difficulty may be overcome with extremely accurate data, and possibly exploiting small but non-vanishing momenta by using twisted boundary conditions [194,195]. Given the observation of elliptic flow at RHIC [4,5,6, 7] and most recently at the LHC [9]”
- Scattering processes and resonances from lattice QCD (2017, background): “Another proposed approach is to change the boundary conditions felt by the quark fields, by introducing a “twist” that can effectively induce a non-zero value of momentum (Bedaque, 2004; Sachrajda and Villadoro, 2005).”