I would make a mask that matches the amp glow and then use HistogramTransformation or CurvesTransformation (or a mix of both) to reduce the glow. To make the mask, take a stretched monochrome image (extract Lightness if you're working with RGB.) Blur with Convolution or removal of layers in one of the Multiscale processes. Black clip with HistogramTransformation to isolate the amp glow. If there are features in the amp glow, like stars, that you want to protect then use PixelMath to subtract a bit of the original mono image (e.g. "new_mask-orig-mono*0.5" - adjust the scaling factor for best results.) Now draw a preview around the area with the amp glow and use the SubstituteWithPreview script to copy the preview into a black image. Clean up with CloneStamp if needed and voila!
Cheers,
Rick.