1 | There can be circumstances for which energy is
not the criterion used to define the effective theory, and for
which ![]() |
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2 | We return below to a discussion of how effective Lagrangians can be defined using dimensional regularization. | |
3 | Examples where ![]() |
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4 | A Killing vector field satisfies the condition
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5 | For example, this could happen for a charged
particle in a decreasing magnetic field if the effective theory is
set up so that the dividing energy ![]() |
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6 | These authors have slightly different spins on the more philosophical question of whether trans-Planckian physics is likely to be found to be non-adiabatic. | |
7 | In the inflationary context we take ‘adiabatic vacuum’ to mean the Bunch-Davies vacuum [26]. See, however, [45, 46, 17, 65, 66, 77, 78, 39, 40] for arguments against the use of non-standard vacua in de Sitter space. | |
8 | The point of the non-relativistic
power-counting of the previous section is to show that the third,
large, ![]() ![]() |
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9 | Notice that the curvature-squared terms can no longer be eliminated by performing field redefinitions once classical sources are included. Instead they can only be converted into the direct source-source interactions in which we are interested. | |
10 | The necessity for renormalizing ![]() ![]() |