- #1
QuantumSkippy
- 18
- 1
Consider a one dimensional gauge theory where the field has mass. The term,
[tex]m^{2}A^{\mu}A_{\mu}[/tex]
is the conventional mass term. What if you find terms in your Unified Field Theory lagrangian of the form
[tex]M_{\mu\nu}A^{\mu}A^{\nu}[/tex] ?
In this case [tex]M_{\mu\nu}[/tex] is constant.
When it is not the case that
[tex]M_{\mu\nu}[/tex]
is of the form
[tex]m^{2}g_{\mu\nu}[/tex] ,
are these to be interpreted as self-interaction terms, or self-interaction terms somehow related to mass for the gauge field, or as bona fide mass terms?
[tex]m^{2}A^{\mu}A_{\mu}[/tex]
is the conventional mass term. What if you find terms in your Unified Field Theory lagrangian of the form
[tex]M_{\mu\nu}A^{\mu}A^{\nu}[/tex] ?
In this case [tex]M_{\mu\nu}[/tex] is constant.
When it is not the case that
[tex]M_{\mu\nu}[/tex]
is of the form
[tex]m^{2}g_{\mu\nu}[/tex] ,
are these to be interpreted as self-interaction terms, or self-interaction terms somehow related to mass for the gauge field, or as bona fide mass terms?