# Questions tagged [clifford-algebra]

Clifford algebras are associative algebras constructed from quadratic forms on vector spaces. They can be viewed as generalizations of real numbers, complex numbers and quaternions. When constrained to real numbers, the algebra are often referred to as "geometric algebra" and has use in theoretical physics.

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### Lorentz invariance and Dirac Slash Notation

I have the following factor inside a scattering amplitude $$\Big[\bar{u}(p')\not{l}\gamma^{\mu}\not{l}u(p)\Big] \ \Big[\bar{u}(q')\gamma_{\mu}u(q)\Big]$$ where $p$ and $p'$ are the initial and final ...
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### Relationship between spin and wave-function (in geometric algebra)

I am interested in determining which 'feature' of the wave-function are responsible for fixing the spin of the matter is relates to; or more precisely, an "algorithm" or "procedure"...
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### Connection between Dirac-Matrices and Clifford Algebra

I have to give a quick talk at our University about the Dirac Equation and the Clifford Algebra. Since I am still at the beginning of my studies, my knowledge in this regard is still very limited. ...
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### Can the $SU(3)$ gauge field be put in geometric algebra terms?

According to this article on the spacetime algebra, we know the Dirac spinor can be thought of as an even element of the Clifford algebra over spacetime, which in turn can be thought of as a general ...
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### Problem analyzing Dirac equation in an arbitrary coordinate system using geometric calculus

This question was partially inspired from the Dirac equation in spherical coordinates. For simplicity, let’s suppose I have a two variable partial differential equation initially written in a ...
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### Inertia tensor for rotors

For vectors we can use Inertia tensor. But if I want to use bivectors (Rotors), what should I use for the inertia tensor? I want to make a 2d game and progressively to 4d.
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