- #1

- 104

- 1

Hi,

while I'm going deeper in my SR/GR knowledge, having LQG unrderstanding as main goal ( my QM background and maths is a bit stronger than GR's one, til now ) I came across some interesting youtube lectures about Gauge theory of Gravitation:

http://www.youtube.com/playlist?list=PLSetIGu465f5RO3G-zRggXbyugaZQCFXd

I've roughly touched gouge theories in my QFT incursions, and I found a possible link between gouge theories and GR in the fantastic Baez book "Gauge Fields, Knots and Gravity". So, gauge theories has always fascinated me ( even if I'm still trying to strengthen by knowledge on Lie groups/algebra and bundles ).

This post is about my main doubt about how a gauge could be chosen to encompass GR between gauge theories. Wikipedia ( which is not always a good place to understanding such deep things ) is mentioning mainly 2 theories about it, i.e.:

1) http://en.wikipedia.org/wiki/Gauge_gravitation_theory, which should be the one analysed in the above lectures ( which are following mainly this book http://www.worldscientific.com/worldscibooks/10.1142/p781 )

2) http://en.wikipedia.org/wiki/Gauge_theory_gravity, which seems a bit different from the above one.

From what I have understood, both theories are currently keeping the spacetime as flat introducing a suitable gauge in that canvas. Is this correct?

Also, I was guessing, the graviton can be actually seen as a gauge particle in a GR gauge theory context? I've read somewhere the gauge choosing is somehow a version of the equivalence principle for GR, but I'm not fully sure can be interpreted like that, even if cool as it would be.

A minor doubt I have is how much this version of theory could actually really help me in landing to LQG understanding.

May you help me a bit, as always, in removing a bit of fog from this particualr topic, please?

thanks, regards

EDIT: probably this is the link to my doubt with LQG: https://www.physicsforums.com/showthread.php?t=179731

while I'm going deeper in my SR/GR knowledge, having LQG unrderstanding as main goal ( my QM background and maths is a bit stronger than GR's one, til now ) I came across some interesting youtube lectures about Gauge theory of Gravitation:

http://www.youtube.com/playlist?list=PLSetIGu465f5RO3G-zRggXbyugaZQCFXd

I've roughly touched gouge theories in my QFT incursions, and I found a possible link between gouge theories and GR in the fantastic Baez book "Gauge Fields, Knots and Gravity". So, gauge theories has always fascinated me ( even if I'm still trying to strengthen by knowledge on Lie groups/algebra and bundles ).

This post is about my main doubt about how a gauge could be chosen to encompass GR between gauge theories. Wikipedia ( which is not always a good place to understanding such deep things ) is mentioning mainly 2 theories about it, i.e.:

1) http://en.wikipedia.org/wiki/Gauge_gravitation_theory, which should be the one analysed in the above lectures ( which are following mainly this book http://www.worldscientific.com/worldscibooks/10.1142/p781 )

2) http://en.wikipedia.org/wiki/Gauge_theory_gravity, which seems a bit different from the above one.

From what I have understood, both theories are currently keeping the spacetime as flat introducing a suitable gauge in that canvas. Is this correct?

Also, I was guessing, the graviton can be actually seen as a gauge particle in a GR gauge theory context? I've read somewhere the gauge choosing is somehow a version of the equivalence principle for GR, but I'm not fully sure can be interpreted like that, even if cool as it would be.

A minor doubt I have is how much this version of theory could actually really help me in landing to LQG understanding.

May you help me a bit, as always, in removing a bit of fog from this particualr topic, please?

thanks, regards

EDIT: probably this is the link to my doubt with LQG: https://www.physicsforums.com/showthread.php?t=179731

Last edited: