- #1
izzi wekwek
- 5
- 0
My question is why there is -1/2 for ω meson?
Why is there a -1/2 in the Lagrangian density for ω mesons?
- I
- Thread starter izzi wekwek
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In summary, a Lagrangian density meson is a type of particle described by a mathematical function used in quantum field theory. It has a well-defined mass, spin, and charge, as well as specific quantum numbers that determine its behavior and interactions. These mesons can be created through high-energy collisions or naturally in cosmic ray interactions. In the Standard Model, they are classified as hadrons and play a crucial role in the strong interaction. There are many different types of Lagrangian density mesons, each with its own unique properties and quantum numbers.
My question is why there is -1/2 for ω meson?
- #2
my2cts
- 362
- 26
Where did you find these lagrangians?
I would remove the (-)1/2( ...) bit.
Then it can be correct if σ is complex and ω is real valued.
I would remove the (-)1/2( ...) bit.
Then it can be correct if σ is complex and ω is real valued.
- #3
- 24,492
- 15,012
No, you shouldn't remove the ##-1/2## ;-), because it's correct. You obviously work in the east-coast metric, where ##(\eta_{\mu \nu})=\mathrm{diag}(1,-1,-1,-1)##. The physical degrees of freedom of ##\omega^{\mu}## are three space like vectors, and thus to get the right sign for the kinetic and the mass term there must be that additional - sign.
1. What is a Lagrangian density meson?
A Lagrangian density meson is a type of particle described by the Lagrangian density, which is a mathematical function used in the study of quantum field theory. It represents the energy of the meson and its interactions with other particles.
2. What are the properties of a Lagrangian density meson?
A Lagrangian density meson has a well-defined mass, spin, and charge, just like any other subatomic particle. It also has specific quantum numbers, such as isospin and strangeness, which determine its behavior and interactions with other particles.
3. How are Lagrangian density mesons created?
Lagrangian density mesons can be created through high-energy collisions, such as those that occur in particle accelerators. They can also be produced naturally in cosmic ray interactions or in the decays of other particles.
4. What is the role of Lagrangian density mesons in the Standard Model?
In the Standard Model of particle physics, Lagrangian density mesons are classified as hadrons, which are particles made up of quarks. They play a crucial role in the strong interaction, one of the four fundamental forces of nature, and help to explain the behavior of protons and neutrons in atomic nuclei.
5. Are there different types of Lagrangian density mesons?
Yes, there are many different types of Lagrangian density mesons, each with its own unique combination of properties and quantum numbers. Some examples include pions, kaons, and eta mesons.
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