query: Is the vacuum of a local ${\rm U(1)}$ gauge theory unique?
positive_passages.docid: 149741
positive_passages.text: Review: If true, what makes the vacuum of a local ${\rm U(1)}$ gauge theory unique?
negative_passages.docid: 38103
negative_passages.text: A No-Nonsense Introduction to Quantum Field Theory
negative_passages.docid: 116427
negative_passages.text: $(c^{\mu}\partial_{\mu}-m)\phi(x)=0$ not Lorentz-invariant?
negative_passages.docid: 156636
negative_passages.text: The Existence of the $^1D$ term and the non-existence of the $^3D$ term?
negative_passages.docid: 93835
negative_passages.text: Why do those terms vanish if the metric is Hermitian?
negative_passages.docid: 120180
negative_passages.text: Local explanation of the Aharonov-Bohm effect in terms of force fields
negative_passages.docid: 101090
negative_passages.text: Why exactly do sometimes universal covers, and sometimes central extensions feature in the application of a symmetry group to quantum physics?
negative_passages.docid: 121584
negative_passages.text: Rigor in quantum field theory
negative_passages.docid: 121914
negative_passages.text: Unitary representations of the diffeomorphism group in curved spacetime
negative_passages.docid: 37118
negative_passages.text: Critical Dimension of Bosonic Strings and Regularization of $\sum_{n=1}^\infty n$
negative_passages.docid: 63473
negative_passages.text: Is the shorthand $ \partial_{\mu} $ strictly a partial derivative in field theory?
negative_passages.docid: 7291
negative_passages.text: Gravity as a gauge theory
negative_passages.docid: 55316
negative_passages.text: Why is the Yang-Mills gauge group assumed compact and semi-simple?
negative_passages.docid: 86423
negative_passages.text: Dimension & non - locality problem in string theory
negative_passages.docid: 71626
negative_passages.text: Superposition of distinct vevs in spontaneous symmetry breaking
negative_passages.docid: 79994
negative_passages.text: What exactly means "is a singlet under $SU(N)$"
negative_passages.docid: 45061
negative_passages.text: Physical interpretation of $Q^i = \partial _\nu T^{i \nu}$