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the self-coupling model such as the (Formula presented) interaction, a nonminimal coupling may not play any important role
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In the self-coupling model such as the (Formula presented) interaction, a nonminimal coupling may not play any important role 10.
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48
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85037245890
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the original frame (2.1), writing down the basic equations and adopting the mean-field approximation, we find its gravity part as (Formula presented). To write down this basic equation in the Einstein frame, we have to adopt the conformal factor (Formula presented). Although the basic equations in the original frame with the mean-field approximation can be obtained in above lines, those are very complicated. Instead, we start with the basic equations in the Einstein frame with the same conformal factor (Formula presented). Although both basic equations are not exactly the same owing to the treatment of derivative terms of the mean-field approximation of the (Formula presented) field, these terms are not so important in our analysis. Then we expect that our results may still be reliable. In order to perform exact analysis, we have to solve the basic equations in the original frame by using lattice simulation
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In the original frame (2.1), writing down the basic equations and adopting the mean-field approximation, we find its gravity part as (Formula presented). To write down this basic equation in the Einstein frame, we have to adopt the conformal factor (Formula presented). Although the basic equations in the original frame with the mean-field approximation can be obtained in above lines, those are very complicated. Instead, we start with the basic equations in the Einstein frame with the same conformal factor (Formula presented). Although both basic equations are not exactly the same owing to the treatment of derivative terms of the mean-field approximation of the (Formula presented) field, these terms are not so important in our analysis. Then we expect that our results may still be reliable. In order to perform exact analysis, we have to solve the basic equations in the original frame by using lattice simulation.
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