Complex scalar field：Scalar field theory
Scalar field theory
AscalarfieldisinvariantunderanyLorentztransformation.TheonlyfundamentalscalarquantumfieldthathasbeenobservedinnatureistheHiggsfield.。其他文章還包含有：「5TheComplexScalarField」、「CHAPTER7」、「ConfusionAboutComplexandScalarFields」、「QauntumFieldTheory」、「QuantumFieldTheoryI」、「Solutions2」、「Whytreatcomplexscalarfieldanditscomplexconjugate...」
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5 The Complex Scalar Field
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For a complex scalar field the Lagrangian density is. L = (∂µφ). †. ∂µφ−m. 2 φ. † φ. The Euler-lagrange equations of motion give. (2+m. 2. )φ = 0. (2+m. 2. ) ...
CHAPTER 7
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CHAPTER 7: Complex scalar field theory · Quantization · Field decomposition · Charge operator · Green's functions · Spontaneous symmetry breaking and the ...
Confusion About Complex and Scalar Fields
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The value of the complex-valued field at a point is a complex-valued function over the phase space (the space of solutions to the eom). Hence it ...
Qauntum Field Theory
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1 Quantizing the Complex Scalar Field. We will analyze the QFT of a (free) complex scalar. The Lagrangian of this system is. L = (∂µφ.
Quantum Field Theory I
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The symmetry group for the complex scalar is simply U(1). The above discussions only applied to operators, let us finally discuss transformations for states.
Solutions 2
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Conserved currents: Complex Scalar Field. The dynamics of a complex scalar (spin 0) field Φ(x) is described by the Lagrangian density. L = (∂µΦ. ∗. )(∂µΦ ...
Why treat complex scalar field and its complex conjugate ...
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First of all, any complex number z=a+bi, is 2-dimensional and each part (the real part a or the imaginary part bi) can be completely independent ...