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Fermions are particles with an intrinsic angular momentum (i.e. spin) equal to a "half integer" number of fundamental units: $\frac{(2n+1)}{2} \hbar$ for integer $n$. Fermions are required to be in a quantum state that is globally anti-symmetric, which leads to the Pauli Exclusion Principle barring identical fermions from occupying the same quantum state.

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About fermionic particles and bosonic particles in RQFT, ST

pmatrix} 0\\ 1\\ 0\\ 0\\ \end{pmatrix} $ $ u^{3} $ $ \begin{pmatrix} 0\\ 0\\ 1\\ 0\\ \end{pmatrix} $ $ u^{4} $ $ \begin{pmatrix} 0\\ 0\\ 0\\ 1\\ \end{pmatrix} $ and the associated wavefunctions of the fermions
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About fermionic particles and bosonic particles in RQFT, ST

to electron and positron (matter and anti-matter), Dirac do just this separation for the Hamiltonian to find two equation one of electron(matter) the other for positron(anti-matter). by other side the fermions
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About fermionic particles and bosonic particles in RQFT, ST

Dirac equation is an equation for the relativistic quantum ave function of a single electron.\ we shall regard the dirac wave function as a field, which will subsequently be quantized along with the …
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Fermion propagator as derivative of scalar propagator

The $ \Gamma $ matrices can be constructed recursively, d = 2 Using the Pauli matrices, $ \gamma _{0}=\sigma _{1}$, $\gamma _{1}=-i\sigma _{2}$ where the two gamma matrices can be given by $ \Gamm …
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Fermion propagator as derivative of scalar propagator

Sorry your question is strange for me gamma matrices defined in two dimensions!!!! where you find this subject? Pauli spin matrices \begin{equation} \sigma^{i} = (\sigma^{1}, \sigma^{2}, \sigma^{3 …
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Fermion propagator as derivative of scalar propagator

This answer is from my lecture of QFT That i prepared i wish you find what you want, let me know. It is prefer to write the collision between to particles in term of \textit{amplitude} of \textit{prob …
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Fermion propagator as derivative of scalar propagator

\subsection{Spenor feynman Propagator} consider the operator field $ b\psi $ to creat a virtual particle at event y, and $ \psi $ to destroy that virtual particle particle at even x. The spinor propag …
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