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This lecture delves into the concept of vacuum energy during inflation, focusing on the time evolution of a scalar field and its impact on time translation invariance. The discussion covers the dynamics of scalar and vector fields, the constraints on the Abelian field, and the implications of non-trivial vacuum energy. The instructor also addresses feedback on problem sessions and homework, emphasizing the importance of reaching out for clarification. Additionally, details about the upcoming course exam and oral exam slots are provided, along with insights into the structure of the exams and the opportunity for students to connect with the instructors.
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