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1 vote
0 answers
49 views

Why does S-V or T-A couplings in Fermi weak interaction model produce electron oscillations?

In Fermi interaction model, vector bilinears were originally included in the interaction Lagrangian but since these couldn't explain nuclear spin changes other combinations were considered. However V-...
Manas Dogra's user avatar
  • 1,088
0 votes
0 answers
57 views

Classifying elementary fermions

Familiar elementary (non-composite) relativistic fermions are of the Dirac, Weyl, and Majorana kinds. Are there other kinds allowed in principle by relativistic quantum physics? If not, why not? Are ...
user290794's user avatar
7 votes
3 answers
961 views

Does the Pauli exclusion principle apply to one fermion and one antifermion?

I understand that two fermions cannot simultaneously have the same <momentum, spin> state. I know this is also true of two anti-fermions. But is it possible for one fermion and one anti-fermion ...
Nick Ormrod's user avatar
0 votes
0 answers
138 views

Calculating the residue as part of Matsubara summation

On page no. $166$ of "Many-body quantum theory in condensed matter physics" by Henrik Bruus & Karsten Flensberg, while explaining the summation of Matsubara frequency, the following ...
user263315's user avatar
5 votes
3 answers
797 views

Why are stable fundamental particles fermions?

Within the Standard Model, any particle decay eventually terminates at the same stable fundamental particles, i.e. u- and d-quarks, the electron and neutrinos (let's forget about neutrino oscillations ...
G. Rosenzweig's user avatar
0 votes
0 answers
396 views

Propagator for fermion fields and Feynman diagrams

I need some help concerning the interpretation of propagators and Feynman diagrams. The free fermion propagator is given by the contraction of two fields $\psi(x),\bar\psi(y)$: $D_F(x-y)=T\{\psi(x)\...
AxelAE's user avatar
  • 263
5 votes
1 answer
405 views

Multi-Fermion interactions induced by integrating-out Yukawa-Higgs terms?

Suppose one considers a multi-component free fermions field theory with field $\psi_{q_i}$ with a give global symmetry (such as U(1)). We can say that every component of fermions carry some U(1) ...
Angie38750's user avatar
5 votes
1 answer
711 views

Anomaly cancellation and fermion number violation

In the standard model, an axial $SU(3)$ currents has anomaly which after quantization leads to the fermion number violation. However, taking all the fermions into account we note that the anomalies ...
koejongen's user avatar
  • 104
3 votes
1 answer
977 views

Complex masses for Dirac and Weyl spinors

I'm trying understand how to rotate Dirac fields to absorb complex phases in masses. I have a few related questions: With Weyl spinors, I understand, $$ \mathcal{L} = \text{kinetic} + |M|e^{i\...
innisfree's user avatar
  • 15.2k
2 votes
2 answers
478 views

Fermion Field of Standard Model

Why fermion field is treated as anti-commuting and boson field as truly classical in standard model?
Curious's user avatar
  • 1,063
16 votes
3 answers
3k views

What are the mathematical problems in introducing Spin 3/2 fermions?

Can the physics complications of introducing spin 3/2 Rarita-Schwinger matter be put in geometric (or other) terms readily accessible to a mathematician?
Chet Marone's user avatar