Timeline for Why the contact terms in the Ward identity vanish due to the invariant Noether currents?
Current License: CC BY-SA 4.0
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| Jan 11, 2020 at 5:46 | comment | added | youyou | @Anonjohn (The Noether current j1 associated with symmetry G1 happens to be also invariant under transformation G2) | |
| Jan 11, 2020 at 5:39 | comment | added | youyou | @Anonjohn. Thanks. Now I understand. I go back to eq(22.26) of the book and check the form of contact term. Yes, the contact term contains the ''variation of the operator'' which in this case is zero since it is a Noether current. | |
| Jan 11, 2020 at 5:29 | comment | added | Anonjohn | The right hand side of the ward identity is the contact terms. But each contact term is the variation of the operator under the U(1) gauge(axial) symmetry times a delta function. Since the currents themselves are invariants under the symmetry, the contact terms vanish. | |
| Jan 11, 2020 at 5:27 | history | edited | youyou | CC BY-SA 4.0 |
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| Jan 11, 2020 at 5:21 | history | asked | youyou | CC BY-SA 4.0 |