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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.

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What does vanishing critical mass exponent mean?

I would like to understand the reason behind the vanishing critical mass exponents. I've written a program that calculates the fixed points and then the eigenvalues corresponding to the fixed point so …
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3 votes
0 answers
77 views

Can someone explain why the effective potential should be IR cutoff independent?

I'm studying renormalization in my bachelor but there is something I don't understand: In $\phi^4$ scalar field theory, What does it mean that effective potential is depending on the cutoff? and Why …
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1 vote
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240 views

Definition of "particle" in QM and QFT

To sum up; In Classical Physics, particles can be defined as ... particles (or corpuscule in older texts) is a small localized object to which can be ascribed several physical or chemical propertie …
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7 votes
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Does the Pauli exclusion principle apply to one fermion and one antifermion?

As you stated, no two fermions or anti-fermions can occupy the same state. And here by "state" we mean all quantum numbers defining the properties of our particle. So since electric charge for e.g. el …
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0 votes
1 answer
196 views

How does the Nambu-Goldstone mode explain the absence of parity doubling?

I've been doing some reading about chiral symmetry breaking since it was not touched in my particle physics course I found these slides As explained in the above link, if we take $|\psi \rangle$ as th …
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1 vote
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LSZ reduction formula relation

LSZ formula gives a relation between the scattering amplitudes and correlators as $$\langle f |i \rangle = (-i)^{m+n}\int \Pi_{i=1}^m d^4x_, e^{ik_i'x_i (\Box_{x_i} -m^2)}\Pi_{j=1}^n d^4x_, e^{ik_j x_ …
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0 votes
1 answer
158 views

Fermi's theory and left-handed anti-neutrino

I calculated the $\mu \rightarrow e^- + \nu_{\mu} + \bar{\nu}_{e}$ both in Fermi's theory (V-A) and Intermediate Vector Boson theory and IVB at first order seems to match with Fermi's theory which is …
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0 votes
1 answer
887 views

Confusion with $S$-matrix of Bhabha scattering

Here are the two Feynman diagrams that corresponds to $e^- + e^+ \rightarrow e^- + e^+$ processes: electron positron scattering and electron positron annihilation respectively. I can clearly see the …
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0 votes
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403 views

Higgs boson propagator and current terms

I have been trying to get the scattering amplitude for $u+u \rightarrow u+u$ where $u$ are a specific type of lepton. From the following diagrams, I can write the Feynman amplitudes as $$\mathcal{M_1 …
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5 votes
2 answers
328 views

Symmetry factors in two interacting fields

Red and blue colored lines represent the two different fields. At 1st order, by the exchange of the blue legs and red legs we get $\frac{1}{4}$ factor and in one of the 2nd order term drawn above, fr …
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2 votes
2 answers
473 views

Exact propagator - 1PI diagrams

Above diagram can be written in terms of series: $$i\Delta = -\frac{i}{p^2 + m^2} + \Big(-\frac{i}{p^2 + m^2}\Big)(i\Pi)\Big(-\frac{i}{p^2 + m^2}\Big)+ \Big(-\frac{i}{p^2 + m^2}\Big)(i\Pi)\Big(-\frac …
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1 vote
0 answers
333 views

Spontaneous Symmetry Breaking / Explicit Symmetry Breaking [closed]

I'm trying to understand the SSB and explicit symmetry breaking. If we have a complex scalar field theory with Mexican hat potential, $$\phi(x)=\frac{\sigma(x)}{\sqrt{2}}e^{i\Pi(x)/v}$$ choice of the …
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1 vote
1 answer
195 views

$\nu_e \bar{\nu_e} \rightarrow e^- e^+$ confusion

Interacting part of the $SU(2)_L$describing the Higgs and fermionic sector with one family $$\mathcal{L}= \bar{l}_Li\not Dl_L+\bar{e}_Ri\not\partial e_R+ \bar{\nu}_Ri\not\partial\nu_R - (y_{\nu}\bar{l …
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