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Tagged with goldstone-mode pions
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Goldstone Theorem in Schwartz, follow-up
This is somewhat of a related question to
Goldstone theorem in Schwartz
and is related to equation 28.16 in Schwartz's QFT book.
One way to prove that
$$ \langle \Omega | J^\mu(x) | \pi(p) \rangle = i ...
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Identifying mesons with Goldstone modes
In QCD, due to the work of ‘t Hooft and Vafa-Witten, we know that confinement implies chiral symmetry breaking (David Tong’s gauge theory notes have a clear discussion of this). It is then said that ...
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Identification of physical pion states in chiral perturbation theory
In chiral perturbation theory, we introduce the parametrization of the Goldstone manifold
$$
U = \exp\left( i \frac{1}{f_\pi} \pi_a \sigma_a\right),
$$
where $\sigma_a$ are the Pauli matrices. Most ...