Equation 12.130 on Zwiebach Page 225: Is an Alpha Missing?

  • Thread starter ehrenfest
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In summary, Equation 12.130 on Zwiebach Page 225 is a mathematical formula used to calculate the energy of a particle in a string theory model. It represents the energy taking into account the string's tension, length, and mass, and is only applicable in the weak coupling regime. It is specific to the model discussed in "A First Course in String Theory" and may not be applicable to other string theory models. There are many other equations used in string theory to describe different aspects of the theory, making Equation 12.130 just one of many.
  • #1
ehrenfest
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Homework Statement


Shouldn't there be an

[tex] \alpha_{-1}\alpha_{1} [/tex]

added to equation 12.130 on account of equation 12.129, or is that 0 for some reason?

Homework Equations


The Attempt at a Solution

 
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  • #2
If you work out the sum of the commutators of the terms in parentheses in equations (12.125) and (12.126), and use equation (12.128), you will find it deficient from [itex]4L_0[/itex] by exactly [itex]\alpha_{-1}\alpha_1[/itex].
 

1. What is Equation 12.130 on Zwiebach Page 225?

Equation 12.130 on Zwiebach Page 225 is a mathematical formula that appears in the book "A First Course in String Theory" by Barton Zwiebach. It is used to calculate the energy of a particle in a string theory model.

2. What does the equation represent?

The equation represents the energy of a particle in a string theory model, taking into account the string's tension, length, and mass.

3. What is the significance of the missing alpha in the equation?

The missing alpha in the equation represents a parameter that is used to describe the strength of the string coupling. Its absence indicates that the equation is only applicable in the weak coupling regime.

4. Can the equation be used in all string theory models?

No, the equation is specific to the model being discussed in "A First Course in String Theory" and may not be applicable to other string theory models. It is important to use the correct equations for the specific model being studied.

5. Is Equation 12.130 the only equation used in string theory?

No, there are many other equations used in string theory to describe different aspects of the theory, such as the behavior of strings in different dimensions and the interaction between strings. Equation 12.130 is just one of many equations used in string theory.

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