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Quantum Field Theory (QFT) is the theoretical framework describing the quantisation of classical fields which allows a Lorentz-invariant formulation of quantum mechanics. QFT is used both in high energy physics as well as condensed matter physics and closely related to statistical field theory. Use this tag for many-body quantum-mechanical problems and the theory of particle physics. Don’t combine with the [quantum-mechanics] tag.

1 vote
0 answers
91 views

Fierz tranformations

Consider the following quadri-linear $$ e(1234)= [\bar{\psi}_1 \sigma_{\mu \nu} \psi_2][\bar{\psi}_3 \sigma^{\mu \nu} \gamma_5 \psi_4]$$ Where $\psi$'s are spinors. I came across the identity: $e(123 …
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16 votes
1 answer
2k views

Logarithms in Renormalization

I am learning renormalization in Quantum field theory and following mainly Schwartz (Quantum field theory and standard model) for it. While explaining Renormalization group equations it says it mainly …
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6 votes
1 answer
5k views

Propagator of gauge boson

Propagator for W boson in unitary gauge is given by $\left(-g_{\mu \nu}+\frac{q_{\mu}q_{\nu}}{m_w^2}\right)$ which can be written as $$ \left(-g_{\mu \nu}+\frac{q_{\mu}q_{\nu}}{q^2}-\frac{q_{\mu}q_{\ …
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2 votes
0 answers
120 views

Why do the masses of decay products affect the branching ratio?

Consider a particle $P$ of mass $100m$ (where $m$ is some unit). It can decay into either of two particle-antiparticle pairs: $P\to P_1\bar{P}_1$ with branching ratio $BR_1$, where $P_1$ has mass $4 …
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6 votes
1 answer
1k views

Intrinsic parity

When we apply parity on a field two times, we demand that we should get back the same field. This gives us, $P^{2} =1$, which implies, $ P \psi = e^{i \theta} \psi$ . This extra phase factor is calle …
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11 votes
2 answers
3k views

Why exactly does the time-reversal operator need to be anti-linear?

I checked many books and they all state that time-reversal operator is anti-linear. But why do we need it to be anti-linear? Please explain where this need actually arises.
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