Chapter 5 E3

Operators:

  • O3=ϕ(0)ϕ(0)ϕ(0)

  • OPx3=ϕ(px)ϕ(0)ϕ(0)

  • OPxy3=ϕ(pxy)ϕ(0)ϕ(0)

  • OPxyz3=ϕ(pxyz)ϕ(0)ϕ(0)

  • OA13=i=x,y,zϕ(0)ϕ(pi)ϕ(pi)

Correlators:

  • C3=O3(0)O3(t)

    c3(t)=|A30|2exp(E3T2)cosh(E3(tT2))+|A21|2exp((E2+M)T2)cosh((E2M)(tT2)).

  • CP13=i=x,y,zOPi3(0)OPi3(t)

cP13(t)=|A30|2exp(E3T2)cosh(E3(tT2))+|A2p1|2exp((E2(p)+M)T2)cosh((E2(p)M)(tT2))+|A21p|2exp((E2+E1(p))T2)cosh((E2E1(p))(tT2))+

  • CP113=i=xy,yz,zxOPi3(0)OPi3(t)

  • CP113=OPxyz3(0)OPxyz3(t)

  • OA13=OA13(0)OA13(t)

cA13(t)=|A30|2exp(E3T2)cosh(E3(tT2))+|A2A11|2exp((E2A1+M)T2)cosh((E2A1M)(tT2))+|A2p1p|2exp((E2(p)+E1(p))T2)cosh((E2(p)E1(p))(tT2))