B-L extension of the Standard Model

Click For Summary
SUMMARY

The B-L extension of the Standard Model incorporates Baryon and Lepton numbers as significant components, recognizing the difference between these quantities as a conserved generator of the gauge group. This extension promotes the color group from SU(3) to either SU(3)xU(1) or SU(4). It is crucial to differentiate this from Left-Right (L-R) extensions, which transition from SU(2)xU(1) to SU(2)xSU(2). The simultaneous application of both extensions, transitioning from SU(3)xSU(2)xU(1) to SU(4)xSU(2)xSU(2), is highlighted as a vital model in theoretical physics.

PREREQUISITES
  • Understanding of gauge groups, specifically SU(3) and SU(2)
  • Familiarity with Baryon and Lepton number conservation
  • Knowledge of the Standard Model of particle physics
  • Concepts of symmetry breaking in particle physics
NEXT STEPS
  • Research the implications of B-L symmetry in particle physics
  • Explore the mathematical framework of SU(4) and its applications
  • Study the differences between B-L and L-R extensions in detail
  • Investigate the role of SO(10) in grand unified theories
USEFUL FOR

The discussion is beneficial for theoretical physicists, particle physicists, and researchers interested in advanced models of the Standard Model and gauge theories.

welatiger
Messages
85
Reaction score
0
i need what we mean by B-L extension of the Standard Model ?
 
Physics news on Phys.org
A extension where Baryon and Lepton numbers make a prominent rule. In such extensions, the difference between Baryon Number and Lepton Number is recognized as a preserved quantity, and then promoted to some generator of the gauge group. This should be to extend the SU(3) colour group to SU(3)xU(1) or to SU(4)

Do not confuse with L-R extensions, for Left-Right, where SU(2)xU(1) is extended to SU(2)xSU(2).

The simultaneus use of both extensions, from SU(3)xSU(2)xU(1) to SU(4)xSU(2)xSU(2) is a very important model. Baez and Huerta like to show an "square" where SO(1O) can descent either into SU(4)xSU(2)xS(2) or to SU(5), and both of them can go down to SU(3)xSU(2)xU(1). Nice thing.
 

Similar threads

Graduate Furey's superalgebra and the standard model
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Left Right Symmetric Extension of SM and vMSM
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad The standard model from loop quantum gravity via spinors octonions
  • · Replies 26 ·
Replies
26
Views
6K
Undergrad Fermion doubling problem and three generations of standard model
  • · Replies 18 ·
Replies
18
Views
2K
Graduate Can the Strand Tangle Model Unify General Relativity and the Standard Model?
  • · Replies 5 ·
Replies
5
Views
3K
Graduate The Exceptional Jordan Algebra in physics
  • · Replies 4 ·
Replies
4
Views
4K
Graduate If Sterile neutrino and axions exist, is that standard model
  • · Replies 11 ·
Replies
11
Views
3K
Graduate Octonions and the Standard Model
  • · Replies 27 ·
Replies
27
Views
9K
Graduate What Are the Key Unresolved Issues in the Two-Higgs-Doublet Model?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Is Gravity Part Of The Standard Model?
  • · Replies 30 ·
2
Replies
30
Views
9K