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Results tagged with grand-unification
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A Grand Unified Theory is a model in particle physics in which at ultra-high energy, the 3 gauge interactions of the Standard Model (electromagnetic, weak, and strong) merge into a single one, characterized by one larger encompassing gauge symmetry and one unified coupling constant. After SSBreaking, force carriers differentiate themselves and are driven by the RG to their values and numbers in the lab. Use for gauge GUT and gravity unification.
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Where does the matching condition for $U(1)$ subgroups come from in unified models?
The matching conditions for a breaking $G \rightarrow \prod_i G_i$ are
$$\omega_G-\frac{C_2(G)(\mu)}{12 \pi}=\omega_{G_i}-\frac{C_2(G_i)(\mu)}{12 \pi} ,$$
where $C_2(g)$ denotes the quadratic Casimi …
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Which representation do we start with in Grand Unified Theories?
The conventional approach in GUTs is to put all left-chiral fields $F_L$ of the standard model into one representation of the GUT group. For example, the 16 rep for $SO(10)$ GUT:
$$ 16_L \rightarrow …
- 10.3k
4
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Why are there only two linearly independet quartic Higgs terms for the adjoint $24$ in $SU(5...
I've read the statement in countless papers, for example, here Eq. 4.2 or here Eq. 2.1 without any further explanation or reference, that the "most general renormalizable Higgs potential" for an adjo …
- 10.3k
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Why do we need complex representations in Grand Unified Theories?
EDIT4: I think I was now able to track down where this dogma originally came from. Howard
Georgi wrote in TOWARDS
A
GRAND
UNIFIED
THEORY
OF
FLAVOR
There is a deeper reason to require …
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