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I=2 $\pi\pi$ scattering using G-parity boundary condition

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arxiv hep-lat/0311003 v1 pith:3U4HGLHL submitted 2003-11-03 hep-lat

classification hep-lat
keywords boundaryconditiong-parityanti-periodiccalculateexponentialfieldsformula
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

To make the $\pi\pi$ state with non-zero relative momentum as the leading exponential, we impose anti-periodic boundary condition on the pion, which is implemented by imposing G-parity or H-parity on the quark fields at the boundary. With this, we calculate the I=2 $\pi\pi$ phase shift from lattice simulation by using L\"uscher's formula.

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  1. Lattice simulations with G-parity Boundary Conditions

    hep-lat 2019-08 conditional novelty 4.0 of 10

    A detailed lattice QCD formalism and numerical tests show that G-parity boundary conditions yield moving pions with correct energies and preserved isospin, enabling physical-kinematics kaon decay calculations.

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