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InertialObservr's profile
〈 Berger | Dillon 〉
〈 Berger | Dillon 〉
〈 Berger | Dillon 〉
@InertialObservr

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〈 Berger | Dillon 〉

@InertialObservr

PhD student of Theoretical Particle Physics @UCIrvine l @NSF Fellow l Physics & Math Animations l Patreon: https://www.patreon.com/inertialobserver …

DC → CA
youtube.com/c/InertialObse…
Joined August 2015

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    1. 〈 Berger | Dillon 〉‏ @InertialObservr Jan 15
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      Noether's Theorem is perhaps the most beautiful mathematical theorem in physics •It states that: Every continuous symmetry (T) of the Lagrangian has a corresponding conservation lawpic.twitter.com/RrsS1QKm4A

      19 replies 304 retweets 1,435 likes
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    2. 〈 Berger | Dillon 〉‏ @InertialObservr Jan 15
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      Caveats (1/2) The astute reader will notice that technically Noether's theorem applies to invariance of the action, which is the spacetime integral over the Lagrangian density Hence, you will also need to make sure that the measure is invariant under the transformation as well

      1 reply 6 retweets 98 likes
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    3. 〈 Berger | Dillon 〉‏ @InertialObservr Jan 15
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      Caveat (2) Since surface terms do not affect the Euler Lagrange equations, the equations of motion are always trivially invariant upon adding a 4-divergence to the Lagrangian density

      2 replies 4 retweets 60 likes
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    4. 〈 Berger | Dillon 〉‏ @InertialObservr Jan 15
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      also the math just looks cool

      2 replies 2 retweets 51 likes
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    5. 〈 Berger | Dillon 〉‏ @InertialObservr Jan 15
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      In Quantum Field Theories, however, Noether's theorem can be violated due to quantum effects! A symmetry at the classical level that is broken by quantum corrections is referred to as 'Anomalous' Anomalous symmetries are one of the many great predictions of the Standard Model!pic.twitter.com/Xku5q3MERl

      1 reply 16 retweets 100 likes
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    6. 〈 Berger | Dillon 〉‏ @InertialObservr Jan 15
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      The reason for this is because Noether's theorem relies on the Euler-Lagrange equations, which need not be satisfied at the quantum level!

      6 replies 4 retweets 73 likes
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    7. ......‏ @rgbxthpkhjm Jan 15
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      Replying to @InertialObservr

      I ask the question : is there no conservation law ? in this subject ?

      1 reply 0 retweets 0 likes
      〈 Berger | Dillon 〉‏ @InertialObservr Jan 15
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      Replying to @PhitauSanitere

      There are, since we require that the standard model gauge groups have no anomalies

      2:37 PM - 15 Jan 2020
      • 3 Likes
      • Harry ratpoison ......
      1 reply 0 retweets 3 likes
        1. ......‏ @rgbxthpkhjm Jan 15
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          Replying to @InertialObservr

          ok... i mixed in my head Curie principle and Noether theorem wikipedia told there were 2 such theorems the second one: https://en.wikipedia.org/wiki/Noether%27s_second_theorem … is this one relevant in quantum theory ? (just curious)

          0 replies 0 retweets 0 likes
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