Exercise

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The following equation is known as the Callan–Symanzik equation. Why not try and recreate the equation by combining the MathML you have learned over the previous pages. Alternatively you may view an example of a possible solution.




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Exercise solution


The following code will create the calculation shown.

<math><mo stretchy = 'true'>[</mo><mi>M</mi><mfrac><mi mathsize = '1.4em'>∂</mi><mrow><mi mathsize = '1.4em'>∂</mi><mi mathsize = '1.4em'>M</mi></mrow></mfrac><mo>+</mo><mi>β</mi><mo stretchy= 'false'>(</mo><mi>g</mi><mo stretchy = 'false'>)</mo><mfrac><mi mathsize = '1.4em'>∂</mi><mrow><mi mathsize = '1.4em'>∂</mi><mi mathsize = '1.4em'>g</mi></mrow></mfrac><mo>+</mo><mi>n</mi><mi>γ</mi><mo>]</mo><msup><mi>G</mi><mrow><mo>(</mo><mi>n</mi><mo>)</mo></mrow></msup><mo stretchy = 'false'>(</mo><msub><mi>x</mi><mn>1</mn></msub><mtext>,</mtext><msub><mi>x</mi><mn>2</mn></msub><mtext>,</mtext><mtext>…</mtext><mtext>,</mtext><msub><mi>x</mi><mi>n</mi></msub><mtext>;</mtext><mi>M</mi><mtext>,</mtext><mi>g</mi><mo stretchy = 'false'>)</mo><mo>=</mo><mn>0</mn></math>

Gives:

[MM+β(g)g+nγ]G(n)(x1,x2,,xn;M,g)=0

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