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0 votes
0 answers
37 views

What does it even mean?: "Perturbation theory developed around minima of potential (vacuum) is stable."

(Context: QFT, spontaneous symmetry breaking): What I have understood from reading the path integral version of the story is that this "vacuum" is actually the classical solution [i.e. which ...
nmnphy's user avatar
  • 11
2 votes
1 answer
57 views

Calculating the vacuum in an $O(2)$ spontaneous symmetry breaking

Consider the Lagrangian (we ignore the quantum correction here) $$\mathcal{L}=-\frac{1}{2} \partial_\mu \phi_1 \partial^\mu \phi_1-\frac{1}{2} \partial_\mu \phi_2 \partial^\mu \phi_2-\frac{\mu^2}{2} \...
Ho-Oh's user avatar
  • 153
2 votes
1 answer
130 views

Is Vacuum Expectation Value equivalent to the sum of Tadpole Diagram in the QFT?

I am recently learning Spontaneously Symmetry Breaking in the QFT. For example let us just focus on the potential $V[\Phi]=a\Phi^2 + b\Phi^4$ where $a<0,b>0$ and denote the vacuum expectation ...
Kong Yeu's user avatar
3 votes
0 answers
93 views

Relation between RG flow and space of vacua

When studying supersymmetric QFT's, it is very common to compute the moduli space of the theory by solving all F-term equation (derivatives of the superpotential). More precisely, one should also ...
xpsf's user avatar
  • 1,044
3 votes
2 answers
133 views

Why use infinite energy to change a vacuum to the another in usual SSB?

I am reading Strominger's Lecture in the IR triangle, there is a short argument about differences between the usual Higgs case and Large Gauge Symmetry (LGS) one in P38. Strominger says: In the usual ...
Lain's user avatar
  • 347
1 vote
1 answer
85 views

Quantum correction to the relation of mass and vacuum expectation value

On Peskin & Schroeder's QFT, page 387, the book gives a general analysis about renormalization and symmetry. For the example of $\sigma$ mass in the linear sigma model, the classical relation is $$...
Daren's user avatar
  • 1,421
1 vote
0 answers
72 views

Quantization of spontaneously broken theory, which is not in the true vacuum

I wonder whether the source $J$ in QFT can make one to quantize the field when the system is in the excursion to the minimum. Precisely, I want to know that following process makes sence. Suppose, I ...
lIllIlllIIIl's user avatar
4 votes
3 answers
2k views

Physics of vacuum expectation values in QFT

I have some trouble understanding what is the physical meaning of the vacuum expectation value (VEV) when applied in a QFT context. Question: What is the physical meaning of a VEV? I understand that ...
LolloBoldo's user avatar
  • 1,611
-1 votes
2 answers
231 views

Are zero-point fluctuations (ZPF) of vacuum Lorentz invariant?

According to the second postulate of Special Relativity the speed of light c must be invariant that consequently leads to the first postulate of Einstein the Lorentz invariance in all inertial frames ...
Markoul11's user avatar
  • 4,170
2 votes
1 answer
123 views

Spontaneous Symmetry Breaking and gauge symmetry

As mention in David Tong's Lecture note: Gauge symmetry is, in many ways, an odd foundation on which to build our best theories of physics. It is not a property of Nature, but rather a property of ...
King Meruem's user avatar
0 votes
0 answers
91 views

In QCD, Why the order parameter of chiral symmetry takes the form $\langle0 \lvert \bar{\psi}\psi\rvert 0 \rangle$?

A simple question, why the order parameter of QCD chiral symmetry (chiral condensate) take this form: (or let's say why choose $\bar{\psi}\psi$ to judge there is SSB(spontaneous symmetry breaking) or ...
a Fish in Dirac Sea's user avatar
1 vote
1 answer
118 views

Barrier Penetration in Spontaneous Symmetry Breaking

In spontaneous symmetry breaking discussion in Weinberg Chapter 19 section 19.1, he says that the off-diagonal elements between two vacua $$|VAC, +> \pm |VAC->$$ is suppressed by the factor of $$...
physicsbootcamp's user avatar
1 vote
1 answer
89 views

Why fields carrying spin cannot obtain non-zero vacuum expectation value in a Lorentz invariant theory? [duplicate]

Why fields carrying spin cannot obtain non-zero vacuum expectation value in a Lorentz invariant theory?
joginder goswami's user avatar
1 vote
1 answer
67 views

In the event of a vacuum phase transition, could the universe be left into a state with no fundamental symmetries?

I was having a discussion with a physicist asking him whether there could be any process, compatible with our current knowledge of physics, where the universe would be left without any fundamental ...
vengaq's user avatar
  • 2,466
0 votes
0 answers
65 views

Vacuum Transitions and Lorentz Symmetry Breaking

There are many "bumblebee" models 1, 2 where Lorentz invariance is violated usually resulting from a local vector or tensor field acquiring a nonzero vacuum expectation value We do not know ...
vengaq's user avatar
  • 2,466

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