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FermionLine

FermionLine[{sgn2,p2,m2,},{sgn1,p1,m1,},DiracMatrix[mtx1,,mtxn]] or 2[p2,m2,],mtx1,,mtxn,1[p1,m1,]
represents a product of Dirac matrices sandwiched between spinors and corresponding to frequency sign , 4-momentum , mass , .

Details and OptionsDetails and Options

  • FermionLine prints as 2[p2,m2,],mtx1,,mtxn,1[p1,m1,] in StandardForm with k standing in for or depending on sgnk.
  • The sgnk are allowed to be +1 (-spinor) or 1 (-spinor) only.
  • The product of objects in spinor space should be delimited by commas.
  • Products of FermionLine objects are assembled to form a FermionLineProduct.
  • The and spinors at either end of a FermionLine can be entered in StandardForm as follows:
  • [,]ubar spinor (u^_)EscubEsc
    [,]vbar spinor (v^_)EscvbEsc
    [,]u spinor (u)EscuEsc
    [,]v spinor (v)EscvEsc
  • The momentum and mass arguments of and are mandatory.
  • The glyphs and can be entered as EscscuEsc and EscscvEsc, respectively.

ExamplesExamplesopen allclose all

Basic Examples  (5)Basic Examples  (5)

A transition current:

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Expand:

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Do an integral:

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View FermionLine in TraditionalForm and InputForm:

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The product of two or more FermionLine objects is represented by FermionLineProduct object:

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