Finite volume QCD at fixed topological charge

@article{Aoki2007FiniteVQ,
  title={Finite volume QCD at fixed topological charge},
  author={Sinya Aoki and Hidenori Fukaya and Shoji Hashimoto and Tetsuya Onogi},
  journal={Physical Review D},
  year={2007},
  volume={76},
  pages={054508}
}
In finite volume the partition function of QCD with a given {theta} is a sum of different topological sectors with a weight primarily determined by the topological susceptibility. If a physical observable is evaluated only in a fixed topological sector, the result deviates from the true expectation value by an amount proportional to the inverse space-time volume 1/V. Using the saddle point expansion, we derive formulas to express the correction due to the fixed topological charge in terms of a… Expand
Computing the topological susceptibility from fixed topology QCD simulations
The topological susceptibility is an important quantity in QCD, which can be computed using lattice methods. However, at a fine lattice spacing, or when using high quality chirally symmetric quarks,Expand
Simulations at fixed topology: fixed topology versus ordinary finite volume corrections
Lattice QCD simulations tend to get stuck in a single topological sector at fine lattice spacing, or when using chirally symmetric quarks. In such cases computed observables differ from their fullExpand
Topological susceptibility and axial symmetry at finite temperature
We consider the simulation of finite temperature QCD with two flavors of dynamical overlap fermions in order to study the suppression of the axial U(1) symmetry breaking at the chiral phaseExpand
Spanning of Topological sectors, charge and susceptibility with naive Wilson fermions
We study the topological charge and the topological susceptibility in lattice QCD with two degenerate flavors of naive Wilson fermions at two values of lattice spacings and different volumes, for aExpand
Studying and removing effects of fixed topology
At small lattice spacing, or when using overlap fermions, lattice QCD simulations tend to become stuck in a single topological sector. Physical observables, e.g. hadron masses, then differ from theirExpand
Lattice study of the Schwinger model at fixed topology
At small lattice spacing QCD simulations are expected to become stuck in a single topological sector. Observables evaluated in a fixed topological sector differ from their counterparts in full QCD,Expand
Theta-vacuum physics from QCD at fixed topololgy
We propose a method to obtain physical quantities in the theta vacuum from those at fixed topology, which are different by finite size effects. Extending the work by Brower et al., we derive theExpand
Studying and removing effects of fixed topology in a quantum mechanical model
At small lattice spacing, or when using e.g. overlap fermions, lattice QCD simulations tend to become stuck in a single topological sector. Physical observables then differ from their full QCDExpand
Topological susceptibility in 2+1-flavor QCD with chiral fermions
We compute the topological susceptibility X t of 2+1-flavor lattice QCD with dynamical Mobius domain-wall fermions, whose residual mass is kept at 1 MeV or smaller. In our analysis, we focus on theExpand
Combining ordinary and topological finite volume effects for fixed topology simulations
In lattice quantum field theories with topological sectors, simulations at fine lattice spacings — with typical algorithms — tend to freeze topologically. In such cases, specific topological finiteExpand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 19 REFERENCES
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)Expand
Ann
Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixedExpand
Phys
  • Lett. B 560, 64
  • 2003
JLQCD Collaboration)
  • Phys. Rev. Lett. 98,
  • 2007
arXiv:0705.2928. FINITE VOLUME QCD AT FIXED TOPOLOGICAL
  • PHYSICAL REVIEW D
  • 2007
JLQCD Collaboration)
  • Proc. Sci
  • 2006
JLQCD Collaboration)
  • Proc. Sci.,
  • 2006
JLQCD Collaboration)
  • Proc. Sci.,
  • 2006
JLQCD Collaboration)
  • Proc. Sci.,
  • 2006
T
  • Onogi and N. Yamada [JLQCD Collaboration], Phys. Rev. D 74, 094505
  • 2006
...
1
2
...